Finding the Third Proportional to 82,003.13 and 177,607.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,003.13 : 177,607.50 = 177,607.50 : x
2. Step 2: Convert to fraction form
   82,003.13/177,607.50 = 177,607.50/x
3. Step 3: Cross multiply
   82,003.13x = 177,607.50 × 177,607.50
4. Step 4: Simplify right side
   82,003.13x = 31,544,424,056.25
5. Step 5: Solve for x
   x = 31,544,424,056.25/82,003.13
6. Step 6: Final answer
   x = 384,673.44