Finding the Third Proportional to 109,154 and 229,316

Step by Step Solution

1. Step 1: Write the proportion equation
   109,154 : 229,316 = 229,316 : x
2. Step 2: Convert to fraction form
   109,154/229,316 = 229,316/x
3. Step 3: Cross multiply
   109,154x = 229,316 × 229,316
4. Step 4: Simplify right side
   109,154x = 52,585,827,856
5. Step 5: Solve for x
   x = 52,585,827,856/109,154
6. Step 6: Final answer
   x = 481,758.14