Finding the Third Proportional to 77,722 and 120,018

Step by Step Solution

1. Step 1: Write the proportion equation
   77,722 : 120,018 = 120,018 : x
2. Step 2: Convert to fraction form
   77,722/120,018 = 120,018/x
3. Step 3: Cross multiply
   77,722x = 120,018 × 120,018
4. Step 4: Simplify right side
   77,722x = 14,404,320,324
5. Step 5: Solve for x
   x = 14,404,320,324/77,722
6. Step 6: Final answer
   x = 185,331.31