Finding the Third Proportional to 109,680 and 234,900

Step by Step Solution

1. Step 1: Write the proportion equation
   109,680 : 234,900 = 234,900 : x
2. Step 2: Convert to fraction form
   109,680/234,900 = 234,900/x
3. Step 3: Cross multiply
   109,680x = 234,900 × 234,900
4. Step 4: Simplify right side
   109,680x = 55,178,010,000
5. Step 5: Solve for x
   x = 55,178,010,000/109,680
6. Step 6: Final answer
   x = 503,081.78