Finding the Third Proportional to 59,561 and 90,435

Step by Step Solution

1. Step 1: Write the proportion equation
   59,561 : 90,435 = 90,435 : x
2. Step 2: Convert to fraction form
   59,561/90,435 = 90,435/x
3. Step 3: Cross multiply
   59,561x = 90,435 × 90,435
4. Step 4: Simplify right side
   59,561x = 8,178,489,225
5. Step 5: Solve for x
   x = 8,178,489,225/59,561
6. Step 6: Final answer
   x = 137,312.83