Finding the Third Proportional to 122,820.50 and 186,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,820.50 : 186,446.50 = 186,446.50 : x
2. Step 2: Convert to fraction form
   122,820.50/186,446.50 = 186,446.50/x
3. Step 3: Cross multiply
   122,820.50x = 186,446.50 × 186,446.50
4. Step 4: Simplify right side
   122,820.50x = 34,762,297,362.25
5. Step 5: Solve for x
   x = 34,762,297,362.25/122,820.50
6. Step 6: Final answer
   x = 283,033.35