Finding the Third Proportional to 82,902.25 and 177,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,902.25 : 177,623.50 = 177,623.50 : x
2. Step 2: Convert to fraction form
   82,902.25/177,623.50 = 177,623.50/x
3. Step 3: Cross multiply
   82,902.25x = 177,623.50 × 177,623.50
4. Step 4: Simplify right side
   82,902.25x = 31,550,107,752.25
5. Step 5: Solve for x
   x = 31,550,107,752.25/82,902.25
6. Step 6: Final answer
   x = 380,569.98