Finding the Third Proportional to 114,316 and 175,360

Step by Step Solution

1. Step 1: Write the proportion equation
   114,316 : 175,360 = 175,360 : x
2. Step 2: Convert to fraction form
   114,316/175,360 = 175,360/x
3. Step 3: Cross multiply
   114,316x = 175,360 × 175,360
4. Step 4: Simplify right side
   114,316x = 30,751,129,600
5. Step 5: Solve for x
   x = 30,751,129,600/114,316
6. Step 6: Final answer
   x = 269,001.10