Finding the Third Proportional to 333,714 and 517,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,714 : 517,156.50 = 517,156.50 : x
2. Step 2: Convert to fraction form
   333,714/517,156.50 = 517,156.50/x
3. Step 3: Cross multiply
   333,714x = 517,156.50 × 517,156.50
4. Step 4: Simplify right side
   333,714x = 267,450,845,492.25
5. Step 5: Solve for x
   x = 267,450,845,492.25/333,714
6. Step 6: Final answer
   x = 801,437.30