Finding the Third Proportional to 122,418 and 187,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,418 : 187,258.50 = 187,258.50 : x
2. Step 2: Convert to fraction form
   122,418/187,258.50 = 187,258.50/x
3. Step 3: Cross multiply
   122,418x = 187,258.50 × 187,258.50
4. Step 4: Simplify right side
   122,418x = 35,065,745,822.25
5. Step 5: Solve for x
   x = 35,065,745,822.25/122,418
6. Step 6: Final answer
   x = 286,442.73