Finding the Third Proportional to 116,742 and 175,113.75

Step by Step Solution

1. Step 1: Write the proportion equation
   116,742 : 175,113.75 = 175,113.75 : x
2. Step 2: Convert to fraction form
   116,742/175,113.75 = 175,113.75/x
3. Step 3: Cross multiply
   116,742x = 175,113.75 × 175,113.75
4. Step 4: Simplify right side
   116,742x = 30,664,825,439.06
5. Step 5: Solve for x
   x = 30,664,825,439.06/116,742
6. Step 6: Final answer
   x = 262,671.75