Finding the Third Proportional to 82,761.75 and 177,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,761.75 : 177,187.50 = 177,187.50 : x
2. Step 2: Convert to fraction form
   82,761.75/177,187.50 = 177,187.50/x
3. Step 3: Cross multiply
   82,761.75x = 177,187.50 × 177,187.50
4. Step 4: Simplify right side
   82,761.75x = 31,395,410,156.25
5. Step 5: Solve for x
   x = 31,395,410,156.25/82,761.75
6. Step 6: Final answer
   x = 379,346.86