Finding the Third Proportional to 115,109 and 175,064

Step by Step Solution

1. Step 1: Write the proportion equation
   115,109 : 175,064 = 175,064 : x
2. Step 2: Convert to fraction form
   115,109/175,064 = 175,064/x
3. Step 3: Cross multiply
   115,109x = 175,064 × 175,064
4. Step 4: Simplify right side
   115,109x = 30,647,404,096
5. Step 5: Solve for x
   x = 30,647,404,096/115,109
6. Step 6: Final answer
   x = 266,246.81