Finding the Third Proportional to 109,377 and 178,605

Step by Step Solution

1. Step 1: Write the proportion equation
   109,377 : 178,605 = 178,605 : x
2. Step 2: Convert to fraction form
   109,377/178,605 = 178,605/x
3. Step 3: Cross multiply
   109,377x = 178,605 × 178,605
4. Step 4: Simplify right side
   109,377x = 31,899,746,025
5. Step 5: Solve for x
   x = 31,899,746,025/109,377
6. Step 6: Final answer
   x = 291,649.49