Finding the Third Proportional to 47,046 and 113,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,046 : 113,782.50 = 113,782.50 : x
2. Step 2: Convert to fraction form
   47,046/113,782.50 = 113,782.50/x
3. Step 3: Cross multiply
   47,046x = 113,782.50 × 113,782.50
4. Step 4: Simplify right side
   47,046x = 12,946,457,306.25
5. Step 5: Solve for x
   x = 12,946,457,306.25/47,046
6. Step 6: Final answer
   x = 275,187.21