Finding the Third Proportional to 59,088 and 89,335

Step by Step Solution

1. Step 1: Write the proportion equation
   59,088 : 89,335 = 89,335 : x
2. Step 2: Convert to fraction form
   59,088/89,335 = 89,335/x
3. Step 3: Cross multiply
   59,088x = 89,335 × 89,335
4. Step 4: Simplify right side
   59,088x = 7,980,742,225
5. Step 5: Solve for x
   x = 7,980,742,225/59,088
6. Step 6: Final answer
   x = 135,065.36