Finding the Third Proportional to 103,630 and 153,256

Step by Step Solution

1. Step 1: Write the proportion equation
   103,630 : 153,256 = 153,256 : x
2. Step 2: Convert to fraction form
   103,630/153,256 = 153,256/x
3. Step 3: Cross multiply
   103,630x = 153,256 × 153,256
4. Step 4: Simplify right side
   103,630x = 23,487,401,536
5. Step 5: Solve for x
   x = 23,487,401,536/103,630
6. Step 6: Final answer
   x = 226,646.74