Finding the Third Proportional to 59,181.89 and 125,653.78

Step by Step Solution

1. Step 1: Write the proportion equation
   59,181.89 : 125,653.78 = 125,653.78 : x
2. Step 2: Convert to fraction form
   59,181.89/125,653.78 = 125,653.78/x
3. Step 3: Cross multiply
   59,181.89x = 125,653.78 × 125,653.78
4. Step 4: Simplify right side
   59,181.89x = 15,788,872,742.42
5. Step 5: Solve for x
   x = 15,788,872,742.42/59,181.89
6. Step 6: Final answer
   x = 266,785.54