Finding the Third Proportional to 82,871 and 126,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,871 : 126,714.50 = 126,714.50 : x
2. Step 2: Convert to fraction form
   82,871/126,714.50 = 126,714.50/x
3. Step 3: Cross multiply
   82,871x = 126,714.50 × 126,714.50
4. Step 4: Simplify right side
   82,871x = 16,056,564,510.25
5. Step 5: Solve for x
   x = 16,056,564,510.25/82,871
6. Step 6: Final answer
   x = 193,753.72