Finding the Third Proportional to 333,470 and 517,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,470 : 517,131.50 = 517,131.50 : x
2. Step 2: Convert to fraction form
   333,470/517,131.50 = 517,131.50/x
3. Step 3: Cross multiply
   333,470x = 517,131.50 × 517,131.50
4. Step 4: Simplify right side
   333,470x = 267,424,988,292.25
5. Step 5: Solve for x
   x = 267,424,988,292.25/333,470
6. Step 6: Final answer
   x = 801,946.17