Finding the Third Proportional to 106,623 and 226,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,623 : 226,366.50 = 226,366.50 : x
2. Step 2: Convert to fraction form
   106,623/226,366.50 = 226,366.50/x
3. Step 3: Cross multiply
   106,623x = 226,366.50 × 226,366.50
4. Step 4: Simplify right side
   106,623x = 51,241,792,322.25
5. Step 5: Solve for x
   x = 51,241,792,322.25/106,623
6. Step 6: Final answer
   x = 480,588.54