Finding the Third Proportional to 158,769 and 218,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,769 : 218,713.50 = 218,713.50 : x
2. Step 2: Convert to fraction form
   158,769/218,713.50 = 218,713.50/x
3. Step 3: Cross multiply
   158,769x = 218,713.50 × 218,713.50
4. Step 4: Simplify right side
   158,769x = 47,835,595,082.25
5. Step 5: Solve for x
   x = 47,835,595,082.25/158,769
6. Step 6: Final answer
   x = 301,290.52