Finding the Third Proportional to 58,648 and 127,820

Step by Step Solution

1. Step 1: Write the proportion equation
   58,648 : 127,820 = 127,820 : x
2. Step 2: Convert to fraction form
   58,648/127,820 = 127,820/x
3. Step 3: Cross multiply
   58,648x = 127,820 × 127,820
4. Step 4: Simplify right side
   58,648x = 16,337,952,400
5. Step 5: Solve for x
   x = 16,337,952,400/58,648
6. Step 6: Final answer
   x = 278,576.46