Finding the Third Proportional to 118,202 and 259,012

Step by Step Solution

1. Step 1: Write the proportion equation
   118,202 : 259,012 = 259,012 : x
2. Step 2: Convert to fraction form
   118,202/259,012 = 259,012/x
3. Step 3: Cross multiply
   118,202x = 259,012 × 259,012
4. Step 4: Simplify right side
   118,202x = 67,087,216,144
5. Step 5: Solve for x
   x = 67,087,216,144/118,202
6. Step 6: Final answer
   x = 567,564.14