Finding the Third Proportional to 82,104.75 and 174,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,104.75 : 174,802.50 = 174,802.50 : x
2. Step 2: Convert to fraction form
   82,104.75/174,802.50 = 174,802.50/x
3. Step 3: Cross multiply
   82,104.75x = 174,802.50 × 174,802.50
4. Step 4: Simplify right side
   82,104.75x = 30,555,914,006.25
5. Step 5: Solve for x
   x = 30,555,914,006.25/82,104.75
6. Step 6: Final answer
   x = 372,157.69