Finding the Third Proportional to 108,292.50 and 174,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,292.50 : 174,469.50 = 174,469.50 : x
2. Step 2: Convert to fraction form
   108,292.50/174,469.50 = 174,469.50/x
3. Step 3: Cross multiply
   108,292.50x = 174,469.50 × 174,469.50
4. Step 4: Simplify right side
   108,292.50x = 30,439,606,430.25
5. Step 5: Solve for x
   x = 30,439,606,430.25/108,292.50
6. Step 6: Final answer
   x = 281,086.93