Finding the Third Proportional to 78,848 and 170,820

Step by Step Solution

1. Step 1: Write the proportion equation
   78,848 : 170,820 = 170,820 : x
2. Step 2: Convert to fraction form
   78,848/170,820 = 170,820/x
3. Step 3: Cross multiply
   78,848x = 170,820 × 170,820
4. Step 4: Simplify right side
   78,848x = 29,179,472,400
5. Step 5: Solve for x
   x = 29,179,472,400/78,848
6. Step 6: Final answer
   x = 370,072.45