Finding the Third Proportional to 82,099.83 and 177,693.43

Step by Step Solution

1. Step 1: Write the proportion equation
   82,099.83 : 177,693.43 = 177,693.43 : x
2. Step 2: Convert to fraction form
   82,099.83/177,693.43 = 177,693.43/x
3. Step 3: Cross multiply
   82,099.83x = 177,693.43 × 177,693.43
4. Step 4: Simplify right side
   82,099.83x = 31,574,956,342.34
5. Step 5: Solve for x
   x = 31,574,956,342.34/82,099.83
6. Step 6: Final answer
   x = 384,592.23