Finding the Third Proportional to 107,184 and 229,132

Step by Step Solution

1. Step 1: Write the proportion equation
   107,184 : 229,132 = 229,132 : x
2. Step 2: Convert to fraction form
   107,184/229,132 = 229,132/x
3. Step 3: Cross multiply
   107,184x = 229,132 × 229,132
4. Step 4: Simplify right side
   107,184x = 52,501,473,424
5. Step 5: Solve for x
   x = 52,501,473,424/107,184
6. Step 6: Final answer
   x = 489,825.66