Finding the Third Proportional to 82,099.50 and 177,296

Step by Step Solution

1. Step 1: Write the proportion equation
   82,099.50 : 177,296 = 177,296 : x
2. Step 2: Convert to fraction form
   82,099.50/177,296 = 177,296/x
3. Step 3: Cross multiply
   82,099.50x = 177,296 × 177,296
4. Step 4: Simplify right side
   82,099.50x = 31,433,871,616
5. Step 5: Solve for x
   x = 31,433,871,616/82,099.50
6. Step 6: Final answer
   x = 382,875.31