Finding the Third Proportional to 432,686,127 and 1,020,384,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   432,686,127 : 1,020,384,997.50 = 1,020,384,997.50 : x
2. Step 2: Convert to fraction form
   432,686,127/1,020,384,997.50 = 1,020,384,997.50/x
3. Step 3: Cross multiply
   432,686,127x = 1,020,384,997.50 × 1,020,384,997.50
4. Step 4: Simplify right side
   432,686,127x = 1,041,185,543,123,074,944
5. Step 5: Solve for x
   x = 1,041,185,543,123,074,944/432,686,127
6. Step 6: Final answer
   x = 2,406,329,850.10