Finding the Third Proportional to 42,563 and 86,342

Step by Step Solution

1. Step 1: Write the proportion equation
   42,563 : 86,342 = 86,342 : x
2. Step 2: Convert to fraction form
   42,563/86,342 = 86,342/x
3. Step 3: Cross multiply
   42,563x = 86,342 × 86,342
4. Step 4: Simplify right side
   42,563x = 7,454,940,964
5. Step 5: Solve for x
   x = 7,454,940,964/42,563
6. Step 6: Final answer
   x = 175,150.74