Finding the Third Proportional to 105,192 and 218,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,192 : 218,146.50 = 218,146.50 : x
2. Step 2: Convert to fraction form
   105,192/218,146.50 = 218,146.50/x
3. Step 3: Cross multiply
   105,192x = 218,146.50 × 218,146.50
4. Step 4: Simplify right side
   105,192x = 47,587,895,462.25
5. Step 5: Solve for x
   x = 47,587,895,462.25/105,192
6. Step 6: Final answer
   x = 452,390.82