Finding the Third Proportional to 120,773 and 260,014

Step by Step Solution

1. Step 1: Write the proportion equation
   120,773 : 260,014 = 260,014 : x
2. Step 2: Convert to fraction form
   120,773/260,014 = 260,014/x
3. Step 3: Cross multiply
   120,773x = 260,014 × 260,014
4. Step 4: Simplify right side
   120,773x = 67,607,280,196
5. Step 5: Solve for x
   x = 67,607,280,196/120,773
6. Step 6: Final answer
   x = 559,788.03