Finding the Third Proportional to 122,377.50 and 259,436.25

Step by Step Solution

1. Step 1: Write the proportion equation
   122,377.50 : 259,436.25 = 259,436.25 : x
2. Step 2: Convert to fraction form
   122,377.50/259,436.25 = 259,436.25/x
3. Step 3: Cross multiply
   122,377.50x = 259,436.25 × 259,436.25
4. Step 4: Simplify right side
   122,377.50x = 67,307,167,814.06
5. Step 5: Solve for x
   x = 67,307,167,814.06/122,377.50
6. Step 6: Final answer
   x = 549,996.26