Finding the Third Proportional to 82,108.50 and 177,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,108.50 : 177,709.50 = 177,709.50 : x
2. Step 2: Convert to fraction form
   82,108.50/177,709.50 = 177,709.50/x
3. Step 3: Cross multiply
   82,108.50x = 177,709.50 × 177,709.50
4. Step 4: Simplify right side
   82,108.50x = 31,580,666,390.25
5. Step 5: Solve for x
   x = 31,580,666,390.25/82,108.50
6. Step 6: Final answer
   x = 384,621.16