Finding the Third Proportional to 109,648 and 234,272

Step by Step Solution

1. Step 1: Write the proportion equation
   109,648 : 234,272 = 234,272 : x
2. Step 2: Convert to fraction form
   109,648/234,272 = 234,272/x
3. Step 3: Cross multiply
   109,648x = 234,272 × 234,272
4. Step 4: Simplify right side
   109,648x = 54,883,369,984
5. Step 5: Solve for x
   x = 54,883,369,984/109,648
6. Step 6: Final answer
   x = 500,541.46