Finding the Third Proportional to 540,264 and 1,164,321

Step by Step Solution

1. Step 1: Write the proportion equation
   540,264 : 1,164,321 = 1,164,321 : x
2. Step 2: Convert to fraction form
   540,264/1,164,321 = 1,164,321/x
3. Step 3: Cross multiply
   540,264x = 1,164,321 × 1,164,321
4. Step 4: Simplify right side
   540,264x = 1,355,643,391,041
5. Step 5: Solve for x
   x = 1,355,643,391,041/540,264
6. Step 6: Final answer
   x = 2,509,223.99