Finding the Third Proportional to 109,634 and 234,820

Step by Step Solution

1. Step 1: Write the proportion equation
   109,634 : 234,820 = 234,820 : x
2. Step 2: Convert to fraction form
   109,634/234,820 = 234,820/x
3. Step 3: Cross multiply
   109,634x = 234,820 × 234,820
4. Step 4: Simplify right side
   109,634x = 55,140,432,400
5. Step 5: Solve for x
   x = 55,140,432,400/109,634
6. Step 6: Final answer
   x = 502,950.11