Finding the Third Proportional to 333,063 and 507,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,063 : 507,883.50 = 507,883.50 : x
2. Step 2: Convert to fraction form
   333,063/507,883.50 = 507,883.50/x
3. Step 3: Cross multiply
   333,063x = 507,883.50 × 507,883.50
4. Step 4: Simplify right side
   333,063x = 257,945,649,572.25
5. Step 5: Solve for x
   x = 257,945,649,572.25/333,063
6. Step 6: Final answer
   x = 774,465.04