Finding the Third Proportional to 118,223.50 and 259,415

Step by Step Solution

1. Step 1: Write the proportion equation
   118,223.50 : 259,415 = 259,415 : x
2. Step 2: Convert to fraction form
   118,223.50/259,415 = 259,415/x
3. Step 3: Cross multiply
   118,223.50x = 259,415 × 259,415
4. Step 4: Simplify right side
   118,223.50x = 67,296,142,225
5. Step 5: Solve for x
   x = 67,296,142,225/118,223.50
6. Step 6: Final answer
   x = 569,228.13