Finding the Third Proportional to 333,085.50 and 507,917.25

Step by Step Solution

1. Step 1: Write the proportion equation
   333,085.50 : 507,917.25 = 507,917.25 : x
2. Step 2: Convert to fraction form
   333,085.50/507,917.25 = 507,917.25/x
3. Step 3: Cross multiply
   333,085.50x = 507,917.25 × 507,917.25
4. Step 4: Simplify right side
   333,085.50x = 257,979,932,847.56
5. Step 5: Solve for x
   x = 257,979,932,847.56/333,085.50
6. Step 6: Final answer
   x = 774,515.65