Finding the Third Proportional to 76,162.50 and 165,036

Step by Step Solution

1. Step 1: Write the proportion equation
   76,162.50 : 165,036 = 165,036 : x
2. Step 2: Convert to fraction form
   76,162.50/165,036 = 165,036/x
3. Step 3: Cross multiply
   76,162.50x = 165,036 × 165,036
4. Step 4: Simplify right side
   76,162.50x = 27,236,881,296
5. Step 5: Solve for x
   x = 27,236,881,296/76,162.50
6. Step 6: Final answer
   x = 357,615.38