Finding the Third Proportional to 77,824 and 175,858

Step by Step Solution

1. Step 1: Write the proportion equation
   77,824 : 175,858 = 175,858 : x
2. Step 2: Convert to fraction form
   77,824/175,858 = 175,858/x
3. Step 3: Cross multiply
   77,824x = 175,858 × 175,858
4. Step 4: Simplify right side
   77,824x = 30,926,036,164
5. Step 5: Solve for x
   x = 30,926,036,164/77,824
6. Step 6: Final answer
   x = 397,384.31