Finding the Third Proportional to 42,376 and 80,904

Step by Step Solution

1. Step 1: Write the proportion equation
   42,376 : 80,904 = 80,904 : x
2. Step 2: Convert to fraction form
   42,376/80,904 = 80,904/x
3. Step 3: Cross multiply
   42,376x = 80,904 × 80,904
4. Step 4: Simplify right side
   42,376x = 6,545,457,216
5. Step 5: Solve for x
   x = 6,545,457,216/42,376
6. Step 6: Final answer
   x = 154,461.42