Finding the Third Proportional to 82,323 and 120,558

Step by Step Solution

1. Step 1: Write the proportion equation
   82,323 : 120,558 = 120,558 : x
2. Step 2: Convert to fraction form
   82,323/120,558 = 120,558/x
3. Step 3: Cross multiply
   82,323x = 120,558 × 120,558
4. Step 4: Simplify right side
   82,323x = 14,534,231,364
5. Step 5: Solve for x
   x = 14,534,231,364/82,323
6. Step 6: Final answer
   x = 176,551.28