Finding the Third Proportional to 117,543 and 165,165.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,543 : 165,165.75 = 165,165.75 : x
2. Step 2: Convert to fraction form
   117,543/165,165.75 = 165,165.75/x
3. Step 3: Cross multiply
   117,543x = 165,165.75 × 165,165.75
4. Step 4: Simplify right side
   117,543x = 27,279,724,973.06
5. Step 5: Solve for x
   x = 27,279,724,973.06/117,543
6. Step 6: Final answer
   x = 232,082.94