Finding the Third Proportional to 88,638 and 186,572

Step by Step Solution

1. Step 1: Write the proportion equation
   88,638 : 186,572 = 186,572 : x
2. Step 2: Convert to fraction form
   88,638/186,572 = 186,572/x
3. Step 3: Cross multiply
   88,638x = 186,572 × 186,572
4. Step 4: Simplify right side
   88,638x = 34,809,111,184
5. Step 5: Solve for x
   x = 34,809,111,184/88,638
6. Step 6: Final answer
   x = 392,710.93