Finding the Third Proportional to 89,908 and 185,624

Step by Step Solution

1. Step 1: Write the proportion equation
   89,908 : 185,624 = 185,624 : x
2. Step 2: Convert to fraction form
   89,908/185,624 = 185,624/x
3. Step 3: Cross multiply
   89,908x = 185,624 × 185,624
4. Step 4: Simplify right side
   89,908x = 34,456,269,376
5. Step 5: Solve for x
   x = 34,456,269,376/89,908
6. Step 6: Final answer
   x = 383,239.19