Finding the Third Proportional to 120,188.81 and 259,417.69

Step by Step Solution

1. Step 1: Write the proportion equation
   120,188.81 : 259,417.69 = 259,417.69 : x
2. Step 2: Convert to fraction form
   120,188.81/259,417.69 = 259,417.69/x
3. Step 3: Cross multiply
   120,188.81x = 259,417.69 × 259,417.69
4. Step 4: Simplify right side
   120,188.81x = 67,297,536,587.85
5. Step 5: Solve for x
   x = 67,297,536,587.85/120,188.81
6. Step 6: Final answer
   x = 559,931.79