Finding the Third Proportional to 82,064 and 126,784

Step by Step Solution

1. Step 1: Write the proportion equation
   82,064 : 126,784 = 126,784 : x
2. Step 2: Convert to fraction form
   82,064/126,784 = 126,784/x
3. Step 3: Cross multiply
   82,064x = 126,784 × 126,784
4. Step 4: Simplify right side
   82,064x = 16,074,182,656
5. Step 5: Solve for x
   x = 16,074,182,656/82,064
6. Step 6: Final answer
   x = 195,873.74