Finding the Third Proportional to 115,767 and 169,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,767 : 169,870.50 = 169,870.50 : x
2. Step 2: Convert to fraction form
   115,767/169,870.50 = 169,870.50/x
3. Step 3: Cross multiply
   115,767x = 169,870.50 × 169,870.50
4. Step 4: Simplify right side
   115,767x = 28,855,986,770.25
5. Step 5: Solve for x
   x = 28,855,986,770.25/115,767
6. Step 6: Final answer
   x = 249,259.17