Finding the Third Proportional to 82,649 and 122,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,649 : 122,758.50 = 122,758.50 : x
2. Step 2: Convert to fraction form
   82,649/122,758.50 = 122,758.50/x
3. Step 3: Cross multiply
   82,649x = 122,758.50 × 122,758.50
4. Step 4: Simplify right side
   82,649x = 15,069,649,322.25
5. Step 5: Solve for x
   x = 15,069,649,322.25/82,649
6. Step 6: Final answer
   x = 182,333.11