Finding the Third Proportional to 59,608 and 83,535

Step by Step Solution

1. Step 1: Write the proportion equation
   59,608 : 83,535 = 83,535 : x
2. Step 2: Convert to fraction form
   59,608/83,535 = 83,535/x
3. Step 3: Cross multiply
   59,608x = 83,535 × 83,535
4. Step 4: Simplify right side
   59,608x = 6,978,096,225
5. Step 5: Solve for x
   x = 6,978,096,225/59,608
6. Step 6: Final answer
   x = 117,066.44