Finding the Third Proportional to 332,574 and 507,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   332,574 : 507,164.50 = 507,164.50 : x
2. Step 2: Convert to fraction form
   332,574/507,164.50 = 507,164.50/x
3. Step 3: Cross multiply
   332,574x = 507,164.50 × 507,164.50
4. Step 4: Simplify right side
   332,574x = 257,215,830,060.25
5. Step 5: Solve for x
   x = 257,215,830,060.25/332,574
6. Step 6: Final answer
   x = 773,409.32