Finding the Third Proportional to 117,109 and 175,342

Step by Step Solution

1. Step 1: Write the proportion equation
   117,109 : 175,342 = 175,342 : x
2. Step 2: Convert to fraction form
   117,109/175,342 = 175,342/x
3. Step 3: Cross multiply
   117,109x = 175,342 × 175,342
4. Step 4: Simplify right side
   117,109x = 30,744,816,964
5. Step 5: Solve for x
   x = 30,744,816,964/117,109
6. Step 6: Final answer
   x = 262,531.63