Finding the Third Proportional to 122,279 and 182,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,279 : 182,289.50 = 182,289.50 : x
2. Step 2: Convert to fraction form
   122,279/182,289.50 = 182,289.50/x
3. Step 3: Cross multiply
   122,279x = 182,289.50 × 182,289.50
4. Step 4: Simplify right side
   122,279x = 33,229,461,810.25
5. Step 5: Solve for x
   x = 33,229,461,810.25/122,279
6. Step 6: Final answer
   x = 271,751.17