Finding the Third Proportional to 110,772 and 267,062.25

Step by Step Solution

1. Step 1: Write the proportion equation
   110,772 : 267,062.25 = 267,062.25 : x
2. Step 2: Convert to fraction form
   110,772/267,062.25 = 267,062.25/x
3. Step 3: Cross multiply
   110,772x = 267,062.25 × 267,062.25
4. Step 4: Simplify right side
   110,772x = 71,322,245,375.06
5. Step 5: Solve for x
   x = 71,322,245,375.06/110,772
6. Step 6: Final answer
   x = 643,865.29