Finding the Third Proportional to 105,657.50 and 216,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,657.50 : 216,173.50 = 216,173.50 : x
2. Step 2: Convert to fraction form
   105,657.50/216,173.50 = 216,173.50/x
3. Step 3: Cross multiply
   105,657.50x = 216,173.50 × 216,173.50
4. Step 4: Simplify right side
   105,657.50x = 46,730,982,102.25
5. Step 5: Solve for x
   x = 46,730,982,102.25/105,657.50
6. Step 6: Final answer
   x = 442,287.41