Finding the Third Proportional to 106,458 and 231,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,458 : 231,814.50 = 231,814.50 : x
2. Step 2: Convert to fraction form
   106,458/231,814.50 = 231,814.50/x
3. Step 3: Cross multiply
   106,458x = 231,814.50 × 231,814.50
4. Step 4: Simplify right side
   106,458x = 53,737,962,410.25
5. Step 5: Solve for x
   x = 53,737,962,410.25/106,458
6. Step 6: Final answer
   x = 504,780.88