Finding the Third Proportional to 118,866 and 259,056

Step by Step Solution

1. Step 1: Write the proportion equation
   118,866 : 259,056 = 259,056 : x
2. Step 2: Convert to fraction form
   118,866/259,056 = 259,056/x
3. Step 3: Cross multiply
   118,866x = 259,056 × 259,056
4. Step 4: Simplify right side
   118,866x = 67,110,011,136
5. Step 5: Solve for x
   x = 67,110,011,136/118,866
6. Step 6: Final answer
   x = 564,585.43