Finding the Third Proportional to 42,575 and 86,366

Step by Step Solution

1. Step 1: Write the proportion equation
   42,575 : 86,366 = 86,366 : x
2. Step 2: Convert to fraction form
   42,575/86,366 = 86,366/x
3. Step 3: Cross multiply
   42,575x = 86,366 × 86,366
4. Step 4: Simplify right side
   42,575x = 7,459,085,956
5. Step 5: Solve for x
   x = 7,459,085,956/42,575
6. Step 6: Final answer
   x = 175,198.73