Finding the Third Proportional to 103,677 and 222,514

Step by Step Solution

1. Step 1: Write the proportion equation
   103,677 : 222,514 = 222,514 : x
2. Step 2: Convert to fraction form
   103,677/222,514 = 222,514/x
3. Step 3: Cross multiply
   103,677x = 222,514 × 222,514
4. Step 4: Simplify right side
   103,677x = 49,512,480,196
5. Step 5: Solve for x
   x = 49,512,480,196/103,677
6. Step 6: Final answer
   x = 477,564.75