Finding the Third Proportional to 49,414.50 and 106,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,414.50 : 106,585.50 = 106,585.50 : x
2. Step 2: Convert to fraction form
   49,414.50/106,585.50 = 106,585.50/x
3. Step 3: Cross multiply
   49,414.50x = 106,585.50 × 106,585.50
4. Step 4: Simplify right side
   49,414.50x = 11,360,468,810.25
5. Step 5: Solve for x
   x = 11,360,468,810.25/49,414.50
6. Step 6: Final answer
   x = 229,901.52