Finding the Third Proportional to 82,043 and 126,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,043 : 126,564.50 = 126,564.50 : x
2. Step 2: Convert to fraction form
   82,043/126,564.50 = 126,564.50/x
3. Step 3: Cross multiply
   82,043x = 126,564.50 × 126,564.50
4. Step 4: Simplify right side
   82,043x = 16,018,572,660.25
5. Step 5: Solve for x
   x = 16,018,572,660.25/82,043
6. Step 6: Final answer
   x = 195,246.06