Finding the Third Proportional to 42,560 and 86,336

Step by Step Solution

1. Step 1: Write the proportion equation
   42,560 : 86,336 = 86,336 : x
2. Step 2: Convert to fraction form
   42,560/86,336 = 86,336/x
3. Step 3: Cross multiply
   42,560x = 86,336 × 86,336
4. Step 4: Simplify right side
   42,560x = 7,453,904,896
5. Step 5: Solve for x
   x = 7,453,904,896/42,560
6. Step 6: Final answer
   x = 175,138.74