Finding the Third Proportional to 55,507.50 and 120,375

Step by Step Solution

1. Step 1: Write the proportion equation
   55,507.50 : 120,375 = 120,375 : x
2. Step 2: Convert to fraction form
   55,507.50/120,375 = 120,375/x
3. Step 3: Cross multiply
   55,507.50x = 120,375 × 120,375
4. Step 4: Simplify right side
   55,507.50x = 14,490,140,625
5. Step 5: Solve for x
   x = 14,490,140,625/55,507.50
6. Step 6: Final answer
   x = 261,048.34