Finding the Third Proportional to 55,387.75 and 120,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,387.75 : 120,123.50 = 120,123.50 : x
2. Step 2: Convert to fraction form
   55,387.75/120,123.50 = 120,123.50/x
3. Step 3: Cross multiply
   55,387.75x = 120,123.50 × 120,123.50
4. Step 4: Simplify right side
   55,387.75x = 14,429,655,252.25
5. Step 5: Solve for x
   x = 14,429,655,252.25/55,387.75
6. Step 6: Final answer
   x = 260,520.70