Finding the Third Proportional to 77,820 and 175,848

Step by Step Solution

1. Step 1: Write the proportion equation
   77,820 : 175,848 = 175,848 : x
2. Step 2: Convert to fraction form
   77,820/175,848 = 175,848/x
3. Step 3: Cross multiply
   77,820x = 175,848 × 175,848
4. Step 4: Simplify right side
   77,820x = 30,922,519,104
5. Step 5: Solve for x
   x = 30,922,519,104/77,820
6. Step 6: Final answer
   x = 397,359.54