Finding the Third Proportional to 109,810 and 229,152

Step by Step Solution

1. Step 1: Write the proportion equation
   109,810 : 229,152 = 229,152 : x
2. Step 2: Convert to fraction form
   109,810/229,152 = 229,152/x
3. Step 3: Cross multiply
   109,810x = 229,152 × 229,152
4. Step 4: Simplify right side
   109,810x = 52,510,639,104
5. Step 5: Solve for x
   x = 52,510,639,104/109,810
6. Step 6: Final answer
   x = 478,195.42