Finding the Third Proportional to 123,322.50 and 256,365

Step by Step Solution

1. Step 1: Write the proportion equation
   123,322.50 : 256,365 = 256,365 : x
2. Step 2: Convert to fraction form
   123,322.50/256,365 = 256,365/x
3. Step 3: Cross multiply
   123,322.50x = 256,365 × 256,365
4. Step 4: Simplify right side
   123,322.50x = 65,723,013,225
5. Step 5: Solve for x
   x = 65,723,013,225/123,322.50
6. Step 6: Final answer
   x = 532,936.11