Finding the Third Proportional to 51,438 and 109,196

Step by Step Solution

1. Step 1: Write the proportion equation
   51,438 : 109,196 = 109,196 : x
2. Step 2: Convert to fraction form
   51,438/109,196 = 109,196/x
3. Step 3: Cross multiply
   51,438x = 109,196 × 109,196
4. Step 4: Simplify right side
   51,438x = 11,923,766,416
5. Step 5: Solve for x
   x = 11,923,766,416/51,438
6. Step 6: Final answer
   x = 231,808.52