Finding the Third Proportional to 115,864 and 175,429

Step by Step Solution

1. Step 1: Write the proportion equation
   115,864 : 175,429 = 175,429 : x
2. Step 2: Convert to fraction form
   115,864/175,429 = 175,429/x
3. Step 3: Cross multiply
   115,864x = 175,429 × 175,429
4. Step 4: Simplify right side
   115,864x = 30,775,334,041
5. Step 5: Solve for x
   x = 30,775,334,041/115,864
6. Step 6: Final answer
   x = 265,616.02