Finding the Third Proportional to 76,150 and 175,507

Step by Step Solution

1. Step 1: Write the proportion equation
   76,150 : 175,507 = 175,507 : x
2. Step 2: Convert to fraction form
   76,150/175,507 = 175,507/x
3. Step 3: Cross multiply
   76,150x = 175,507 × 175,507
4. Step 4: Simplify right side
   76,150x = 30,802,707,049
5. Step 5: Solve for x
   x = 30,802,707,049/76,150
6. Step 6: Final answer
   x = 404,500.42