Finding the Third Proportional to 333,031.50 and 507,836.25

Step by Step Solution

1. Step 1: Write the proportion equation
   333,031.50 : 507,836.25 = 507,836.25 : x
2. Step 2: Convert to fraction form
   333,031.50/507,836.25 = 507,836.25/x
3. Step 3: Cross multiply
   333,031.50x = 507,836.25 × 507,836.25
4. Step 4: Simplify right side
   333,031.50x = 257,897,656,814.06
5. Step 5: Solve for x
   x = 257,897,656,814.06/333,031.50
6. Step 6: Final answer
   x = 774,394.18