Finding the Third Proportional to 116,748 and 227,662

Step by Step Solution

1. Step 1: Write the proportion equation
   116,748 : 227,662 = 227,662 : x
2. Step 2: Convert to fraction form
   116,748/227,662 = 227,662/x
3. Step 3: Cross multiply
   116,748x = 227,662 × 227,662
4. Step 4: Simplify right side
   116,748x = 51,829,986,244
5. Step 5: Solve for x
   x = 51,829,986,244/116,748
6. Step 6: Final answer
   x = 443,947.53