Finding the Third Proportional to 83,946 and 126,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,946 : 126,727.50 = 126,727.50 : x
2. Step 2: Convert to fraction form
   83,946/126,727.50 = 126,727.50/x
3. Step 3: Cross multiply
   83,946x = 126,727.50 × 126,727.50
4. Step 4: Simplify right side
   83,946x = 16,059,859,256.25
5. Step 5: Solve for x
   x = 16,059,859,256.25/83,946
6. Step 6: Final answer
   x = 191,311.79