Finding the Third Proportional to 116,678.50 and 174,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,678.50 : 174,273.50 = 174,273.50 : x
2. Step 2: Convert to fraction form
   116,678.50/174,273.50 = 174,273.50/x
3. Step 3: Cross multiply
   116,678.50x = 174,273.50 × 174,273.50
4. Step 4: Simplify right side
   116,678.50x = 30,371,252,802.25
5. Step 5: Solve for x
   x = 30,371,252,802.25/116,678.50
6. Step 6: Final answer
   x = 260,298.62