Finding the Third Proportional to 59,427 and 123,786

Step by Step Solution

1. Step 1: Write the proportion equation
   59,427 : 123,786 = 123,786 : x
2. Step 2: Convert to fraction form
   59,427/123,786 = 123,786/x
3. Step 3: Cross multiply
   59,427x = 123,786 × 123,786
4. Step 4: Simplify right side
   59,427x = 15,322,973,796
5. Step 5: Solve for x
   x = 15,322,973,796/59,427
6. Step 6: Final answer
   x = 257,845.32