Finding the Third Proportional to 59,100 and 123,186

Step by Step Solution

1. Step 1: Write the proportion equation
   59,100 : 123,186 = 123,186 : x
2. Step 2: Convert to fraction form
   59,100/123,186 = 123,186/x
3. Step 3: Cross multiply
   59,100x = 123,186 × 123,186
4. Step 4: Simplify right side
   59,100x = 15,174,790,596
5. Step 5: Solve for x
   x = 15,174,790,596/59,100
6. Step 6: Final answer
   x = 256,764.65