Finding the Third Proportional to 120,862.50 and 256,133

Step by Step Solution

1. Step 1: Write the proportion equation
   120,862.50 : 256,133 = 256,133 : x
2. Step 2: Convert to fraction form
   120,862.50/256,133 = 256,133/x
3. Step 3: Cross multiply
   120,862.50x = 256,133 × 256,133
4. Step 4: Simplify right side
   120,862.50x = 65,604,113,689
5. Step 5: Solve for x
   x = 65,604,113,689/120,862.50
6. Step 6: Final answer
   x = 542,799.58