Finding the Third Proportional to 118,376 and 175,762

Step by Step Solution

1. Step 1: Write the proportion equation
   118,376 : 175,762 = 175,762 : x
2. Step 2: Convert to fraction form
   118,376/175,762 = 175,762/x
3. Step 3: Cross multiply
   118,376x = 175,762 × 175,762
4. Step 4: Simplify right side
   118,376x = 30,892,280,644
5. Step 5: Solve for x
   x = 30,892,280,644/118,376
6. Step 6: Final answer
   x = 260,967.43