Finding the Third Proportional to 116,477.25 and 174,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,477.25 : 174,535.50 = 174,535.50 : x
2. Step 2: Convert to fraction form
   116,477.25/174,535.50 = 174,535.50/x
3. Step 3: Cross multiply
   116,477.25x = 174,535.50 × 174,535.50
4. Step 4: Simplify right side
   116,477.25x = 30,462,640,760.25
5. Step 5: Solve for x
   x = 30,462,640,760.25/116,477.25
6. Step 6: Final answer
   x = 261,532.97