Finding the Third Proportional to 109,876 and 236,360

Step by Step Solution

1. Step 1: Write the proportion equation
   109,876 : 236,360 = 236,360 : x
2. Step 2: Convert to fraction form
   109,876/236,360 = 236,360/x
3. Step 3: Cross multiply
   109,876x = 236,360 × 236,360
4. Step 4: Simplify right side
   109,876x = 55,866,049,600
5. Step 5: Solve for x
   x = 55,866,049,600/109,876
6. Step 6: Final answer
   x = 508,446.34