Finding the Third Proportional to 109,584 and 234,704

Step by Step Solution

1. Step 1: Write the proportion equation
   109,584 : 234,704 = 234,704 : x
2. Step 2: Convert to fraction form
   109,584/234,704 = 234,704/x
3. Step 3: Cross multiply
   109,584x = 234,704 × 234,704
4. Step 4: Simplify right side
   109,584x = 55,085,967,616
5. Step 5: Solve for x
   x = 55,085,967,616/109,584
6. Step 6: Final answer
   x = 502,682.58