Finding the Third Proportional to 333,156 and 487,239.75

Step by Step Solution

1. Step 1: Write the proportion equation
   333,156 : 487,239.75 = 487,239.75 : x
2. Step 2: Convert to fraction form
   333,156/487,239.75 = 487,239.75/x
3. Step 3: Cross multiply
   333,156x = 487,239.75 × 487,239.75
4. Step 4: Simplify right side
   333,156x = 237,402,573,980.06
5. Step 5: Solve for x
   x = 237,402,573,980.06/333,156
6. Step 6: Final answer
   x = 712,586.82