Finding the Third Proportional to 82,999.50 and 177,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,999.50 : 177,832.50 = 177,832.50 : x
2. Step 2: Convert to fraction form
   82,999.50/177,832.50 = 177,832.50/x
3. Step 3: Cross multiply
   82,999.50x = 177,832.50 × 177,832.50
4. Step 4: Simplify right side
   82,999.50x = 31,624,398,056.25
5. Step 5: Solve for x
   x = 31,624,398,056.25/82,999.50
6. Step 6: Final answer
   x = 381,019.14