Finding the Third Proportional to 238,162 and 509,076

Step by Step Solution

1. Step 1: Write the proportion equation
   238,162 : 509,076 = 509,076 : x
2. Step 2: Convert to fraction form
   238,162/509,076 = 509,076/x
3. Step 3: Cross multiply
   238,162x = 509,076 × 509,076
4. Step 4: Simplify right side
   238,162x = 259,158,373,776
5. Step 5: Solve for x
   x = 259,158,373,776/238,162
6. Step 6: Final answer
   x = 1,088,160.05