Finding the Third Proportional to 122,934 and 185,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,934 : 185,266.50 = 185,266.50 : x
2. Step 2: Convert to fraction form
   122,934/185,266.50 = 185,266.50/x
3. Step 3: Cross multiply
   122,934x = 185,266.50 × 185,266.50
4. Step 4: Simplify right side
   122,934x = 34,323,676,022.25
5. Step 5: Solve for x
   x = 34,323,676,022.25/122,934
6. Step 6: Final answer
   x = 279,204.09