Finding the Third Proportional to 82,121.50 and 177,061

Step by Step Solution

1. Step 1: Write the proportion equation
   82,121.50 : 177,061 = 177,061 : x
2. Step 2: Convert to fraction form
   82,121.50/177,061 = 177,061/x
3. Step 3: Cross multiply
   82,121.50x = 177,061 × 177,061
4. Step 4: Simplify right side
   82,121.50x = 31,350,597,721
5. Step 5: Solve for x
   x = 31,350,597,721/82,121.50
6. Step 6: Final answer
   x = 381,758.71