Finding the Third Proportional to 120,444 and 259,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,444 : 259,387.50 = 259,387.50 : x
2. Step 2: Convert to fraction form
   120,444/259,387.50 = 259,387.50/x
3. Step 3: Cross multiply
   120,444x = 259,387.50 × 259,387.50
4. Step 4: Simplify right side
   120,444x = 67,281,875,156.25
5. Step 5: Solve for x
   x = 67,281,875,156.25/120,444
6. Step 6: Final answer
   x = 558,615.42