Finding the Third Proportional to 105,772.50 and 152,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,772.50 : 152,833.50 = 152,833.50 : x
2. Step 2: Convert to fraction form
   105,772.50/152,833.50 = 152,833.50/x
3. Step 3: Cross multiply
   105,772.50x = 152,833.50 × 152,833.50
4. Step 4: Simplify right side
   105,772.50x = 23,358,078,722.25
5. Step 5: Solve for x
   x = 23,358,078,722.25/105,772.50
6. Step 6: Final answer
   x = 220,833.19