Finding the Third Proportional to 47,769 and 103,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,769 : 103,321.50 = 103,321.50 : x
2. Step 2: Convert to fraction form
   47,769/103,321.50 = 103,321.50/x
3. Step 3: Cross multiply
   47,769x = 103,321.50 × 103,321.50
4. Step 4: Simplify right side
   47,769x = 10,675,332,362.25
5. Step 5: Solve for x
   x = 10,675,332,362.25/47,769
6. Step 6: Final answer
   x = 223,478.25