Finding the Third Proportional to 109,480 and 236,464

Step by Step Solution

1. Step 1: Write the proportion equation
   109,480 : 236,464 = 236,464 : x
2. Step 2: Convert to fraction form
   109,480/236,464 = 236,464/x
3. Step 3: Cross multiply
   109,480x = 236,464 × 236,464
4. Step 4: Simplify right side
   109,480x = 55,915,223,296
5. Step 5: Solve for x
   x = 55,915,223,296/109,480
6. Step 6: Final answer
   x = 510,734.59