Finding the Third Proportional to 48,392 and 113,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,392 : 113,857.50 = 113,857.50 : x
2. Step 2: Convert to fraction form
   48,392/113,857.50 = 113,857.50/x
3. Step 3: Cross multiply
   48,392x = 113,857.50 × 113,857.50
4. Step 4: Simplify right side
   48,392x = 12,963,530,306.25
5. Step 5: Solve for x
   x = 12,963,530,306.25/48,392
6. Step 6: Final answer
   x = 267,885.81