Finding the Third Proportional to 81,848 and 120,180

Step by Step Solution

1. Step 1: Write the proportion equation
   81,848 : 120,180 = 120,180 : x
2. Step 2: Convert to fraction form
   81,848/120,180 = 120,180/x
3. Step 3: Cross multiply
   81,848x = 120,180 × 120,180
4. Step 4: Simplify right side
   81,848x = 14,443,232,400
5. Step 5: Solve for x
   x = 14,443,232,400/81,848
6. Step 6: Final answer
   x = 176,464.08