Finding the Third Proportional to 89,912 and 185,632

Step by Step Solution

1. Step 1: Write the proportion equation
   89,912 : 185,632 = 185,632 : x
2. Step 2: Convert to fraction form
   89,912/185,632 = 185,632/x
3. Step 3: Cross multiply
   89,912x = 185,632 × 185,632
4. Step 4: Simplify right side
   89,912x = 34,459,239,424
5. Step 5: Solve for x
   x = 34,459,239,424/89,912
6. Step 6: Final answer
   x = 383,255.18