Finding the Third Proportional to 332,580 and 507,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   332,580 : 507,173.50 = 507,173.50 : x
2. Step 2: Convert to fraction form
   332,580/507,173.50 = 507,173.50/x
3. Step 3: Cross multiply
   332,580x = 507,173.50 × 507,173.50
4. Step 4: Simplify right side
   332,580x = 257,224,959,102.25
5. Step 5: Solve for x
   x = 257,224,959,102.25/332,580
6. Step 6: Final answer
   x = 773,422.81