Finding the Third Proportional to 46,458 and 73,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,458 : 73,831.50 = 73,831.50 : x
2. Step 2: Convert to fraction form
   46,458/73,831.50 = 73,831.50/x
3. Step 3: Cross multiply
   46,458x = 73,831.50 × 73,831.50
4. Step 4: Simplify right side
   46,458x = 5,451,090,392.25
5. Step 5: Solve for x
   x = 5,451,090,392.25/46,458
6. Step 6: Final answer
   x = 117,333.73