Finding the Third Proportional to 333,157 and 487,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,157 : 487,294.50 = 487,294.50 : x
2. Step 2: Convert to fraction form
   333,157/487,294.50 = 487,294.50/x
3. Step 3: Cross multiply
   333,157x = 487,294.50 × 487,294.50
4. Step 4: Simplify right side
   333,157x = 237,455,929,730.25
5. Step 5: Solve for x
   x = 237,455,929,730.25/333,157
6. Step 6: Final answer
   x = 712,744.83