Finding the Third Proportional to 109,642 and 234,832

Step by Step Solution

1. Step 1: Write the proportion equation
   109,642 : 234,832 = 234,832 : x
2. Step 2: Convert to fraction form
   109,642/234,832 = 234,832/x
3. Step 3: Cross multiply
   109,642x = 234,832 × 234,832
4. Step 4: Simplify right side
   109,642x = 55,146,068,224
5. Step 5: Solve for x
   x = 55,146,068,224/109,642
6. Step 6: Final answer
   x = 502,964.81