Finding the Third Proportional to 76,156.50 and 165,024

Step by Step Solution

1. Step 1: Write the proportion equation
   76,156.50 : 165,024 = 165,024 : x
2. Step 2: Convert to fraction form
   76,156.50/165,024 = 165,024/x
3. Step 3: Cross multiply
   76,156.50x = 165,024 × 165,024
4. Step 4: Simplify right side
   76,156.50x = 27,232,920,576
5. Step 5: Solve for x
   x = 27,232,920,576/76,156.50
6. Step 6: Final answer
   x = 357,591.55