Finding the Third Proportional to 120,726 and 271,116

Step by Step Solution

1. Step 1: Write the proportion equation
   120,726 : 271,116 = 271,116 : x
2. Step 2: Convert to fraction form
   120,726/271,116 = 271,116/x
3. Step 3: Cross multiply
   120,726x = 271,116 × 271,116
4. Step 4: Simplify right side
   120,726x = 73,503,885,456
5. Step 5: Solve for x
   x = 73,503,885,456/120,726
6. Step 6: Final answer
   x = 608,848.84