Finding the Third Proportional to 117,546 and 165,168.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,546 : 165,168.75 = 165,168.75 : x
2. Step 2: Convert to fraction form
   117,546/165,168.75 = 165,168.75/x
3. Step 3: Cross multiply
   117,546x = 165,168.75 × 165,168.75
4. Step 4: Simplify right side
   117,546x = 27,280,715,976.56
5. Step 5: Solve for x
   x = 27,280,715,976.56/117,546
6. Step 6: Final answer
   x = 232,085.45