Finding the Third Proportional to 109,820 and 236,284

Step by Step Solution

1. Step 1: Write the proportion equation
   109,820 : 236,284 = 236,284 : x
2. Step 2: Convert to fraction form
   109,820/236,284 = 236,284/x
3. Step 3: Cross multiply
   109,820x = 236,284 × 236,284
4. Step 4: Simplify right side
   109,820x = 55,830,128,656
5. Step 5: Solve for x
   x = 55,830,128,656/109,820
6. Step 6: Final answer
   x = 508,378.52