Finding the Third Proportional to 107,070 and 226,196

Step by Step Solution

1. Step 1: Write the proportion equation
   107,070 : 226,196 = 226,196 : x
2. Step 2: Convert to fraction form
   107,070/226,196 = 226,196/x
3. Step 3: Cross multiply
   107,070x = 226,196 × 226,196
4. Step 4: Simplify right side
   107,070x = 51,164,630,416
5. Step 5: Solve for x
   x = 51,164,630,416/107,070
6. Step 6: Final answer
   x = 477,861.50