Finding the Third Proportional to 82,155 and 126,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,155 : 126,715.50 = 126,715.50 : x
2. Step 2: Convert to fraction form
   82,155/126,715.50 = 126,715.50/x
3. Step 3: Cross multiply
   82,155x = 126,715.50 × 126,715.50
4. Step 4: Simplify right side
   82,155x = 16,056,817,940.25
5. Step 5: Solve for x
   x = 16,056,817,940.25/82,155
6. Step 6: Final answer
   x = 195,445.41