Finding the Third Proportional to 41,776 and 89,376

Step by Step Solution

1. Step 1: Write the proportion equation
   41,776 : 89,376 = 89,376 : x
2. Step 2: Convert to fraction form
   41,776/89,376 = 89,376/x
3. Step 3: Cross multiply
   41,776x = 89,376 × 89,376
4. Step 4: Simplify right side
   41,776x = 7,988,069,376
5. Step 5: Solve for x
   x = 7,988,069,376/41,776
6. Step 6: Final answer
   x = 191,211.92