Finding the Third Proportional to 56,098.50 and 120,077.38

Step by Step Solution

1. Step 1: Write the proportion equation
   56,098.50 : 120,077.38 = 120,077.38 : x
2. Step 2: Convert to fraction form
   56,098.50/120,077.38 = 120,077.38/x
3. Step 3: Cross multiply
   56,098.50x = 120,077.38 × 120,077.38
4. Step 4: Simplify right side
   56,098.50x = 14,418,575,986.89
5. Step 5: Solve for x
   x = 14,418,575,986.89/56,098.50
6. Step 6: Final answer
   x = 257,022.49