Finding the Third Proportional to 127,642 and 265,788

Step by Step Solution

1. Step 1: Write the proportion equation
   127,642 : 265,788 = 265,788 : x
2. Step 2: Convert to fraction form
   127,642/265,788 = 265,788/x
3. Step 3: Cross multiply
   127,642x = 265,788 × 265,788
4. Step 4: Simplify right side
   127,642x = 70,643,260,944
5. Step 5: Solve for x
   x = 70,643,260,944/127,642
6. Step 6: Final answer
   x = 553,448.40