Finding the Third Proportional to 123,400 and 271,052

Step by Step Solution

1. Step 1: Write the proportion equation
   123,400 : 271,052 = 271,052 : x
2. Step 2: Convert to fraction form
   123,400/271,052 = 271,052/x
3. Step 3: Cross multiply
   123,400x = 271,052 × 271,052
4. Step 4: Simplify right side
   123,400x = 73,469,186,704
5. Step 5: Solve for x
   x = 73,469,186,704/123,400
6. Step 6: Final answer
   x = 595,374.28