Finding the Third Proportional to 96,491.50 and 137,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,491.50 : 137,856.50 = 137,856.50 : x
2. Step 2: Convert to fraction form
   96,491.50/137,856.50 = 137,856.50/x
3. Step 3: Cross multiply
   96,491.50x = 137,856.50 × 137,856.50
4. Step 4: Simplify right side
   96,491.50x = 19,004,414,592.25
5. Step 5: Solve for x
   x = 19,004,414,592.25/96,491.50
6. Step 6: Final answer
   x = 196,954.29