Finding the Third Proportional to 57,783 and 126,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,783 : 126,892.50 = 126,892.50 : x
2. Step 2: Convert to fraction form
   57,783/126,892.50 = 126,892.50/x
3. Step 3: Cross multiply
   57,783x = 126,892.50 × 126,892.50
4. Step 4: Simplify right side
   57,783x = 16,101,706,556.25
5. Step 5: Solve for x
   x = 16,101,706,556.25/57,783
6. Step 6: Final answer
   x = 278,658.20