Finding the Third Proportional to 116,470 and 175,671

Step by Step Solution

1. Step 1: Write the proportion equation
   116,470 : 175,671 = 175,671 : x
2. Step 2: Convert to fraction form
   116,470/175,671 = 175,671/x
3. Step 3: Cross multiply
   116,470x = 175,671 × 175,671
4. Step 4: Simplify right side
   116,470x = 30,860,300,241
5. Step 5: Solve for x
   x = 30,860,300,241/116,470
6. Step 6: Final answer
   x = 264,963.51