Finding the Third Proportional to 115,740 and 175,061

Step by Step Solution

1. Step 1: Write the proportion equation
   115,740 : 175,061 = 175,061 : x
2. Step 2: Convert to fraction form
   115,740/175,061 = 175,061/x
3. Step 3: Cross multiply
   115,740x = 175,061 × 175,061
4. Step 4: Simplify right side
   115,740x = 30,646,353,721
5. Step 5: Solve for x
   x = 30,646,353,721/115,740
6. Step 6: Final answer
   x = 264,786.19