Finding the Third Proportional to 116,900 and 175,350

Step by Step Solution

1. Step 1: Write the proportion equation
   116,900 : 175,350 = 175,350 : x
2. Step 2: Convert to fraction form
   116,900/175,350 = 175,350/x
3. Step 3: Cross multiply
   116,900x = 175,350 × 175,350
4. Step 4: Simplify right side
   116,900x = 30,747,622,500
5. Step 5: Solve for x
   x = 30,747,622,500/116,900
6. Step 6: Final answer
   x = 263,025