Finding the Third Proportional to 57,312 and 122,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,312 : 122,003.50 = 122,003.50 : x
2. Step 2: Convert to fraction form
   57,312/122,003.50 = 122,003.50/x
3. Step 3: Cross multiply
   57,312x = 122,003.50 × 122,003.50
4. Step 4: Simplify right side
   57,312x = 14,884,854,012.25
5. Step 5: Solve for x
   x = 14,884,854,012.25/57,312
6. Step 6: Final answer
   x = 259,716.19