Finding the Third Proportional to 116,827 and 175,045

Step by Step Solution

1. Step 1: Write the proportion equation
   116,827 : 175,045 = 175,045 : x
2. Step 2: Convert to fraction form
   116,827/175,045 = 175,045/x
3. Step 3: Cross multiply
   116,827x = 175,045 × 175,045
4. Step 4: Simplify right side
   116,827x = 30,640,752,025
5. Step 5: Solve for x
   x = 30,640,752,025/116,827
6. Step 6: Final answer
   x = 262,274.58