Finding the Third Proportional to 106,627.50 and 229,878

Step by Step Solution

1. Step 1: Write the proportion equation
   106,627.50 : 229,878 = 229,878 : x
2. Step 2: Convert to fraction form
   106,627.50/229,878 = 229,878/x
3. Step 3: Cross multiply
   106,627.50x = 229,878 × 229,878
4. Step 4: Simplify right side
   106,627.50x = 52,843,894,884
5. Step 5: Solve for x
   x = 52,843,894,884/106,627.50
6. Step 6: Final answer
   x = 495,593.49