Finding the Third Proportional to 82,618.50 and 178,359

Step by Step Solution

1. Step 1: Write the proportion equation
   82,618.50 : 178,359 = 178,359 : x
2. Step 2: Convert to fraction form
   82,618.50/178,359 = 178,359/x
3. Step 3: Cross multiply
   82,618.50x = 178,359 × 178,359
4. Step 4: Simplify right side
   82,618.50x = 31,811,932,881
5. Step 5: Solve for x
   x = 31,811,932,881/82,618.50
6. Step 6: Final answer
   x = 385,046.12