Finding the Third Proportional to 765,059,662,848 and 1,674,240,456,210

Step by Step Solution

1. Step 1: Write the proportion equation
   765,059,662,848 : 1,674,240,456,210 = 1,674,240,456,210 : x
2. Step 2: Convert to fraction form
   765,059,662,848/1,674,240,456,210 = 1,674,240,456,210/x
3. Step 3: Cross multiply
   765,059,662,848x = 1,674,240,456,210 × 1,674,240,456,210
4. Step 4: Simplify right side
   765,059,662,848x = 2,803,081,105,210,268,748,611,584
5. Step 5: Solve for x
   x = 2,803,081,105,210,268,748,611,584/765,059,662,848
6. Step 6: Final answer
   x = 3,663,872,559,658.37