Finding the Third Proportional to 432,113 and 654,140

Step by Step Solution

1. Step 1: Write the proportion equation
   432,113 : 654,140 = 654,140 : x
2. Step 2: Convert to fraction form
   432,113/654,140 = 654,140/x
3. Step 3: Cross multiply
   432,113x = 654,140 × 654,140
4. Step 4: Simplify right side
   432,113x = 427,899,139,600
5. Step 5: Solve for x
   x = 427,899,139,600/432,113
6. Step 6: Final answer
   x = 990,248.24