Finding the Third Proportional to 82,458 and 121,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,458 : 121,864.50 = 121,864.50 : x
2. Step 2: Convert to fraction form
   82,458/121,864.50 = 121,864.50/x
3. Step 3: Cross multiply
   82,458x = 121,864.50 × 121,864.50
4. Step 4: Simplify right side
   82,458x = 14,850,956,360.25
5. Step 5: Solve for x
   x = 14,850,956,360.25/82,458
6. Step 6: Final answer
   x = 180,103.28