Finding the Third Proportional to 82,966.50 and 182,061

Step by Step Solution

1. Step 1: Write the proportion equation
   82,966.50 : 182,061 = 182,061 : x
2. Step 2: Convert to fraction form
   82,966.50/182,061 = 182,061/x
3. Step 3: Cross multiply
   82,966.50x = 182,061 × 182,061
4. Step 4: Simplify right side
   82,966.50x = 33,146,207,721
5. Step 5: Solve for x
   x = 33,146,207,721/82,966.50
6. Step 6: Final answer
   x = 399,513.15