Finding the Third Proportional to 82,744.50 and 175,209

Step by Step Solution

1. Step 1: Write the proportion equation
   82,744.50 : 175,209 = 175,209 : x
2. Step 2: Convert to fraction form
   82,744.50/175,209 = 175,209/x
3. Step 3: Cross multiply
   82,744.50x = 175,209 × 175,209
4. Step 4: Simplify right side
   82,744.50x = 30,698,193,681
5. Step 5: Solve for x
   x = 30,698,193,681/82,744.50
6. Step 6: Final answer
   x = 370,999.81