Finding the Third Proportional to 42,039 and 86,535

Step by Step Solution

1. Step 1: Write the proportion equation
   42,039 : 86,535 = 86,535 : x
2. Step 2: Convert to fraction form
   42,039/86,535 = 86,535/x
3. Step 3: Cross multiply
   42,039x = 86,535 × 86,535
4. Step 4: Simplify right side
   42,039x = 7,488,306,225
5. Step 5: Solve for x
   x = 7,488,306,225/42,039
6. Step 6: Final answer
   x = 178,127.60