Finding the Third Proportional to 42,510 and 86,748

Step by Step Solution

1. Step 1: Write the proportion equation
   42,510 : 86,748 = 86,748 : x
2. Step 2: Convert to fraction form
   42,510/86,748 = 86,748/x
3. Step 3: Cross multiply
   42,510x = 86,748 × 86,748
4. Step 4: Simplify right side
   42,510x = 7,525,215,504
5. Step 5: Solve for x
   x = 7,525,215,504/42,510
6. Step 6: Final answer
   x = 177,022.24