Finding the Third Proportional to 116,271 and 174,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,271 : 174,406.50 = 174,406.50 : x
2. Step 2: Convert to fraction form
   116,271/174,406.50 = 174,406.50/x
3. Step 3: Cross multiply
   116,271x = 174,406.50 × 174,406.50
4. Step 4: Simplify right side
   116,271x = 30,417,627,242.25
5. Step 5: Solve for x
   x = 30,417,627,242.25/116,271
6. Step 6: Final answer
   x = 261,609.75