Finding the Third Proportional to 140,388 and 229,216

Step by Step Solution

1. Step 1: Write the proportion equation
   140,388 : 229,216 = 229,216 : x
2. Step 2: Convert to fraction form
   140,388/229,216 = 229,216/x
3. Step 3: Cross multiply
   140,388x = 229,216 × 229,216
4. Step 4: Simplify right side
   140,388x = 52,539,974,656
5. Step 5: Solve for x
   x = 52,539,974,656/140,388
6. Step 6: Final answer
   x = 374,248.33