Finding the Third Proportional to 103,142 and 226,196

Step by Step Solution

1. Step 1: Write the proportion equation
   103,142 : 226,196 = 226,196 : x
2. Step 2: Convert to fraction form
   103,142/226,196 = 226,196/x
3. Step 3: Cross multiply
   103,142x = 226,196 × 226,196
4. Step 4: Simplify right side
   103,142x = 51,164,630,416
5. Step 5: Solve for x
   x = 51,164,630,416/103,142
6. Step 6: Final answer
   x = 496,060.10