Finding the Third Proportional to 115,965 and 165,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,965 : 165,388.50 = 165,388.50 : x
2. Step 2: Convert to fraction form
   115,965/165,388.50 = 165,388.50/x
3. Step 3: Cross multiply
   115,965x = 165,388.50 × 165,388.50
4. Step 4: Simplify right side
   115,965x = 27,353,355,932.25
5. Step 5: Solve for x
   x = 27,353,355,932.25/115,965
6. Step 6: Final answer
   x = 235,875.96