Finding the Third Proportional to 118,496 and 261,012

Step by Step Solution

1. Step 1: Write the proportion equation
   118,496 : 261,012 = 261,012 : x
2. Step 2: Convert to fraction form
   118,496/261,012 = 261,012/x
3. Step 3: Cross multiply
   118,496x = 261,012 × 261,012
4. Step 4: Simplify right side
   118,496x = 68,127,264,144
5. Step 5: Solve for x
   x = 68,127,264,144/118,496
6. Step 6: Final answer
   x = 574,933.03