Finding the Third Proportional to 76,300 and 165,308

Step by Step Solution

1. Step 1: Write the proportion equation
   76,300 : 165,308 = 165,308 : x
2. Step 2: Convert to fraction form
   76,300/165,308 = 165,308/x
3. Step 3: Cross multiply
   76,300x = 165,308 × 165,308
4. Step 4: Simplify right side
   76,300x = 27,326,734,864
5. Step 5: Solve for x
   x = 27,326,734,864/76,300
6. Step 6: Final answer
   x = 358,148.56