Finding the Third Proportional to 56,302 and 123,679

Step by Step Solution

1. Step 1: Write the proportion equation
   56,302 : 123,679 = 123,679 : x
2. Step 2: Convert to fraction form
   56,302/123,679 = 123,679/x
3. Step 3: Cross multiply
   56,302x = 123,679 × 123,679
4. Step 4: Simplify right side
   56,302x = 15,296,495,041
5. Step 5: Solve for x
   x = 15,296,495,041/56,302
6. Step 6: Final answer
   x = 271,686.53