Finding the Third Proportional to 59,199 and 90,561

Step by Step Solution

1. Step 1: Write the proportion equation
   59,199 : 90,561 = 90,561 : x
2. Step 2: Convert to fraction form
   59,199/90,561 = 90,561/x
3. Step 3: Cross multiply
   59,199x = 90,561 × 90,561
4. Step 4: Simplify right side
   59,199x = 8,201,294,721
5. Step 5: Solve for x
   x = 8,201,294,721/59,199
6. Step 6: Final answer
   x = 138,537.72