Finding the Third Proportional to 105,601.50 and 218,688.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,601.50 : 218,688.25 = 218,688.25 : x
2. Step 2: Convert to fraction form
   105,601.50/218,688.25 = 218,688.25/x
3. Step 3: Cross multiply
   105,601.50x = 218,688.25 × 218,688.25
4. Step 4: Simplify right side
   105,601.50x = 47,824,550,688.06
5. Step 5: Solve for x
   x = 47,824,550,688.06/105,601.50
6. Step 6: Final answer
   x = 452,877.57