Finding the Third Proportional to 82,713 and 179,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,713 : 179,425.50 = 179,425.50 : x
2. Step 2: Convert to fraction form
   82,713/179,425.50 = 179,425.50/x
3. Step 3: Cross multiply
   82,713x = 179,425.50 × 179,425.50
4. Step 4: Simplify right side
   82,713x = 32,193,510,050.25
5. Step 5: Solve for x
   x = 32,193,510,050.25/82,713
6. Step 6: Final answer
   x = 389,219.47