Finding the Third Proportional to 106,422 and 229,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,422 : 229,453.50 = 229,453.50 : x
2. Step 2: Convert to fraction form
   106,422/229,453.50 = 229,453.50/x
3. Step 3: Cross multiply
   106,422x = 229,453.50 × 229,453.50
4. Step 4: Simplify right side
   106,422x = 52,648,908,662.25
5. Step 5: Solve for x
   x = 52,648,908,662.25/106,422
6. Step 6: Final answer
   x = 494,718.28