Finding the Third Proportional to 122,863.50 and 185,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,863.50 : 185,422.50 = 185,422.50 : x
2. Step 2: Convert to fraction form
   122,863.50/185,422.50 = 185,422.50/x
3. Step 3: Cross multiply
   122,863.50x = 185,422.50 × 185,422.50
4. Step 4: Simplify right side
   122,863.50x = 34,381,503,506.25
5. Step 5: Solve for x
   x = 34,381,503,506.25/122,863.50
6. Step 6: Final answer
   x = 279,834.97