Finding the Third Proportional to 109,412.25 and 226,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,412.25 : 226,411.50 = 226,411.50 : x
2. Step 2: Convert to fraction form
   109,412.25/226,411.50 = 226,411.50/x
3. Step 3: Cross multiply
   109,412.25x = 226,411.50 × 226,411.50
4. Step 4: Simplify right side
   109,412.25x = 51,262,167,332.25
5. Step 5: Solve for x
   x = 51,262,167,332.25/109,412.25
6. Step 6: Final answer
   x = 468,523.11