Finding the Third Proportional to 80,940 and 176,061

Step by Step Solution

1. Step 1: Write the proportion equation
   80,940 : 176,061 = 176,061 : x
2. Step 2: Convert to fraction form
   80,940/176,061 = 176,061/x
3. Step 3: Cross multiply
   80,940x = 176,061 × 176,061
4. Step 4: Simplify right side
   80,940x = 30,997,475,721
5. Step 5: Solve for x
   x = 30,997,475,721/80,940
6. Step 6: Final answer
   x = 382,968.57