Finding the Third Proportional to 55,691.25 and 120,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,691.25 : 120,076.50 = 120,076.50 : x
2. Step 2: Convert to fraction form
   55,691.25/120,076.50 = 120,076.50/x
3. Step 3: Cross multiply
   55,691.25x = 120,076.50 × 120,076.50
4. Step 4: Simplify right side
   55,691.25x = 14,418,365,852.25
5. Step 5: Solve for x
   x = 14,418,365,852.25/55,691.25
6. Step 6: Final answer
   x = 258,898.23