Finding the Third Proportional to 46,413 and 108,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,413 : 108,445.50 = 108,445.50 : x
2. Step 2: Convert to fraction form
   46,413/108,445.50 = 108,445.50/x
3. Step 3: Cross multiply
   46,413x = 108,445.50 × 108,445.50
4. Step 4: Simplify right side
   46,413x = 11,760,426,470.25
5. Step 5: Solve for x
   x = 11,760,426,470.25/46,413
6. Step 6: Final answer
   x = 253,386.48