Finding the Third Proportional to 34,758 and 76,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,758 : 76,198.50 = 76,198.50 : x
2. Step 2: Convert to fraction form
   34,758/76,198.50 = 76,198.50/x
3. Step 3: Cross multiply
   34,758x = 76,198.50 × 76,198.50
4. Step 4: Simplify right side
   34,758x = 5,806,211,402.25
5. Step 5: Solve for x
   x = 5,806,211,402.25/34,758
6. Step 6: Final answer
   x = 167,046.76