Finding the Third Proportional to 256,335 and 552,111

Step by Step Solution

1. Step 1: Write the proportion equation
   256,335 : 552,111 = 552,111 : x
2. Step 2: Convert to fraction form
   256,335/552,111 = 552,111/x
3. Step 3: Cross multiply
   256,335x = 552,111 × 552,111
4. Step 4: Simplify right side
   256,335x = 304,826,556,321
5. Step 5: Solve for x
   x = 304,826,556,321/256,335
6. Step 6: Final answer
   x = 1,189,172.59