Finding the Third Proportional to 46,138.25 and 100,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,138.25 : 100,614.50 = 100,614.50 : x
2. Step 2: Convert to fraction form
   46,138.25/100,614.50 = 100,614.50/x
3. Step 3: Cross multiply
   46,138.25x = 100,614.50 × 100,614.50
4. Step 4: Simplify right side
   46,138.25x = 10,123,277,610.25
5. Step 5: Solve for x
   x = 10,123,277,610.25/46,138.25
6. Step 6: Final answer
   x = 219,411.82