Finding the Third Proportional to 109,166 and 234,280

Step by Step Solution

1. Step 1: Write the proportion equation
   109,166 : 234,280 = 234,280 : x
2. Step 2: Convert to fraction form
   109,166/234,280 = 234,280/x
3. Step 3: Cross multiply
   109,166x = 234,280 × 234,280
4. Step 4: Simplify right side
   109,166x = 54,887,118,400
5. Step 5: Solve for x
   x = 54,887,118,400/109,166
6. Step 6: Final answer
   x = 502,785.83