Finding the Third Proportional to 127,326 and 265,111

Step by Step Solution

1. Step 1: Write the proportion equation
   127,326 : 265,111 = 265,111 : x
2. Step 2: Convert to fraction form
   127,326/265,111 = 265,111/x
3. Step 3: Cross multiply
   127,326x = 265,111 × 265,111
4. Step 4: Simplify right side
   127,326x = 70,283,842,321
5. Step 5: Solve for x
   x = 70,283,842,321/127,326
6. Step 6: Final answer
   x = 551,999.14