Finding the Third Proportional to 127,773 and 200,468.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,773 : 200,468.25 = 200,468.25 : x
2. Step 2: Convert to fraction form
   127,773/200,468.25 = 200,468.25/x
3. Step 3: Cross multiply
   127,773x = 200,468.25 × 200,468.25
4. Step 4: Simplify right side
   127,773x = 40,187,519,258.06
5. Step 5: Solve for x
   x = 40,187,519,258.06/127,773
6. Step 6: Final answer
   x = 314,522.78