Finding the Third Proportional to 59,135 and 86,501

Step by Step Solution

1. Step 1: Write the proportion equation
   59,135 : 86,501 = 86,501 : x
2. Step 2: Convert to fraction form
   59,135/86,501 = 86,501/x
3. Step 3: Cross multiply
   59,135x = 86,501 × 86,501
4. Step 4: Simplify right side
   59,135x = 7,482,423,001
5. Step 5: Solve for x
   x = 7,482,423,001/59,135
6. Step 6: Final answer
   x = 126,531.21