Finding the Third Proportional to 119,724.50 and 174,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,724.50 : 174,321.50 = 174,321.50 : x
2. Step 2: Convert to fraction form
   119,724.50/174,321.50 = 174,321.50/x
3. Step 3: Cross multiply
   119,724.50x = 174,321.50 × 174,321.50
4. Step 4: Simplify right side
   119,724.50x = 30,387,985,362.25
5. Step 5: Solve for x
   x = 30,387,985,362.25/119,724.50
6. Step 6: Final answer
   x = 253,815.93