Finding the Third Proportional to 103,878 and 223,274.25

Step by Step Solution

1. Step 1: Write the proportion equation
   103,878 : 223,274.25 = 223,274.25 : x
2. Step 2: Convert to fraction form
   103,878/223,274.25 = 223,274.25/x
3. Step 3: Cross multiply
   103,878x = 223,274.25 × 223,274.25
4. Step 4: Simplify right side
   103,878x = 49,851,390,713.06
5. Step 5: Solve for x
   x = 49,851,390,713.06/103,878
6. Step 6: Final answer
   x = 479,903.26