Finding the Third Proportional to 432,840 and 646,836.75

Step by Step Solution

1. Step 1: Write the proportion equation
   432,840 : 646,836.75 = 646,836.75 : x
2. Step 2: Convert to fraction form
   432,840/646,836.75 = 646,836.75/x
3. Step 3: Cross multiply
   432,840x = 646,836.75 × 646,836.75
4. Step 4: Simplify right side
   432,840x = 418,397,781,150.56
5. Step 5: Solve for x
   x = 418,397,781,150.56/432,840
6. Step 6: Final answer
   x = 966,633.82