Finding the Third Proportional to 116,395.50 and 175,566

Step by Step Solution

1. Step 1: Write the proportion equation
   116,395.50 : 175,566 = 175,566 : x
2. Step 2: Convert to fraction form
   116,395.50/175,566 = 175,566/x
3. Step 3: Cross multiply
   116,395.50x = 175,566 × 175,566
4. Step 4: Simplify right side
   116,395.50x = 30,823,420,356
5. Step 5: Solve for x
   x = 30,823,420,356/116,395.50
6. Step 6: Final answer
   x = 264,816.25