Finding the Third Proportional to 105,205.50 and 152,280

Step by Step Solution

1. Step 1: Write the proportion equation
   105,205.50 : 152,280 = 152,280 : x
2. Step 2: Convert to fraction form
   105,205.50/152,280 = 152,280/x
3. Step 3: Cross multiply
   105,205.50x = 152,280 × 152,280
4. Step 4: Simplify right side
   105,205.50x = 23,189,198,400
5. Step 5: Solve for x
   x = 23,189,198,400/105,205.50
6. Step 6: Final answer
   x = 220,418.12