Finding the Third Proportional to 46,758 and 100,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,758 : 100,081.50 = 100,081.50 : x
2. Step 2: Convert to fraction form
   46,758/100,081.50 = 100,081.50/x
3. Step 3: Cross multiply
   46,758x = 100,081.50 × 100,081.50
4. Step 4: Simplify right side
   46,758x = 10,016,306,642.25
5. Step 5: Solve for x
   x = 10,016,306,642.25/46,758
6. Step 6: Final answer
   x = 214,215.89