Finding the Third Proportional to 126,825 and 196,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,825 : 196,649.50 = 196,649.50 : x
2. Step 2: Convert to fraction form
   126,825/196,649.50 = 196,649.50/x
3. Step 3: Cross multiply
   126,825x = 196,649.50 × 196,649.50
4. Step 4: Simplify right side
   126,825x = 38,671,025,850.25
5. Step 5: Solve for x
   x = 38,671,025,850.25/126,825
6. Step 6: Final answer
   x = 304,916.43