Finding the Third Proportional to 82,104.50 and 176,487.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,104.50 : 176,487.50 = 176,487.50 : x
2. Step 2: Convert to fraction form
   82,104.50/176,487.50 = 176,487.50/x
3. Step 3: Cross multiply
   82,104.50x = 176,487.50 × 176,487.50
4. Step 4: Simplify right side
   82,104.50x = 31,147,837,656.25
5. Step 5: Solve for x
   x = 31,147,837,656.25/82,104.50
6. Step 6: Final answer
   x = 379,368.22