Finding the Third Proportional to 69,309 and 110,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,309 : 110,182.50 = 110,182.50 : x
2. Step 2: Convert to fraction form
   69,309/110,182.50 = 110,182.50/x
3. Step 3: Cross multiply
   69,309x = 110,182.50 × 110,182.50
4. Step 4: Simplify right side
   69,309x = 12,140,183,306.25
5. Step 5: Solve for x
   x = 12,140,183,306.25/69,309
6. Step 6: Final answer
   x = 175,160.27