Finding the Third Proportional to 106,222.50 and 229,870.13

Step by Step Solution

1. Step 1: Write the proportion equation
   106,222.50 : 229,870.13 = 229,870.13 : x
2. Step 2: Convert to fraction form
   106,222.50/229,870.13 = 229,870.13/x
3. Step 3: Cross multiply
   106,222.50x = 229,870.13 × 229,870.13
4. Step 4: Simplify right side
   106,222.50x = 52,840,274,367.52
5. Step 5: Solve for x
   x = 52,840,274,367.52/106,222.50
6. Step 6: Final answer
   x = 497,448.98