Finding the Third Proportional to 107,274 and 231,410

Step by Step Solution

1. Step 1: Write the proportion equation
   107,274 : 231,410 = 231,410 : x
2. Step 2: Convert to fraction form
   107,274/231,410 = 231,410/x
3. Step 3: Cross multiply
   107,274x = 231,410 × 231,410
4. Step 4: Simplify right side
   107,274x = 53,550,588,100
5. Step 5: Solve for x
   x = 53,550,588,100/107,274
6. Step 6: Final answer
   x = 499,194.47