Finding the Third Proportional to 322,113 and 727,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,113 : 727,741.50 = 727,741.50 : x
2. Step 2: Convert to fraction form
   322,113/727,741.50 = 727,741.50/x
3. Step 3: Cross multiply
   322,113x = 727,741.50 × 727,741.50
4. Step 4: Simplify right side
   322,113x = 529,607,690,822.25
5. Step 5: Solve for x
   x = 529,607,690,822.25/322,113
6. Step 6: Final answer
   x = 1,644,167.39