Finding the Third Proportional to 118,288.50 and 259,478.25

Step by Step Solution

1. Step 1: Write the proportion equation
   118,288.50 : 259,478.25 = 259,478.25 : x
2. Step 2: Convert to fraction form
   118,288.50/259,478.25 = 259,478.25/x
3. Step 3: Cross multiply
   118,288.50x = 259,478.25 × 259,478.25
4. Step 4: Simplify right side
   118,288.50x = 67,328,962,223.06
5. Step 5: Solve for x
   x = 67,328,962,223.06/118,288.50
6. Step 6: Final answer
   x = 569,192.80