Finding the Third Proportional to 82,886.50 and 178,877

Step by Step Solution

1. Step 1: Write the proportion equation
   82,886.50 : 178,877 = 178,877 : x
2. Step 2: Convert to fraction form
   82,886.50/178,877 = 178,877/x
3. Step 3: Cross multiply
   82,886.50x = 178,877 × 178,877
4. Step 4: Simplify right side
   82,886.50x = 31,996,981,129
5. Step 5: Solve for x
   x = 31,996,981,129/82,886.50
6. Step 6: Final answer
   x = 386,033.69