Finding the Third Proportional to 56,648 and 123,140

Step by Step Solution

1. Step 1: Write the proportion equation
   56,648 : 123,140 = 123,140 : x
2. Step 2: Convert to fraction form
   56,648/123,140 = 123,140/x
3. Step 3: Cross multiply
   56,648x = 123,140 × 123,140
4. Step 4: Simplify right side
   56,648x = 15,163,459,600
5. Step 5: Solve for x
   x = 15,163,459,600/56,648
6. Step 6: Final answer
   x = 267,678.64