Finding the Third Proportional to 598,113,510,129 and 1,286,941,978,596

Step by Step Solution

1. Step 1: Write the proportion equation
   598,113,510,129 : 1,286,941,978,596 = 1,286,941,978,596 : x
2. Step 2: Convert to fraction form
   598,113,510,129/1,286,941,978,596 = 1,286,941,978,596/x
3. Step 3: Cross multiply
   598,113,510,129x = 1,286,941,978,596 × 1,286,941,978,596
4. Step 4: Simplify right side
   598,113,510,129x = 1,656,219,656,272,587,444,453,376
5. Step 5: Solve for x
   x = 1,656,219,656,272,587,444,453,376/598,113,510,129
6. Step 6: Final answer
   x = 2,769,072,472,406.41