Finding the Third Proportional to 42,088 and 89,366

Step by Step Solution

1. Step 1: Write the proportion equation
   42,088 : 89,366 = 89,366 : x
2. Step 2: Convert to fraction form
   42,088/89,366 = 89,366/x
3. Step 3: Cross multiply
   42,088x = 89,366 × 89,366
4. Step 4: Simplify right side
   42,088x = 7,986,281,956
5. Step 5: Solve for x
   x = 7,986,281,956/42,088
6. Step 6: Final answer
   x = 189,751.99