Finding the Third Proportional to 116,880 and 175,272

Step by Step Solution

1. Step 1: Write the proportion equation
   116,880 : 175,272 = 175,272 : x
2. Step 2: Convert to fraction form
   116,880/175,272 = 175,272/x
3. Step 3: Cross multiply
   116,880x = 175,272 × 175,272
4. Step 4: Simplify right side
   116,880x = 30,720,273,984
5. Step 5: Solve for x
   x = 30,720,273,984/116,880
6. Step 6: Final answer
   x = 262,836.02