Finding the Third Proportional to 120,273 and 259,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,273 : 259,612.50 = 259,612.50 : x
2. Step 2: Convert to fraction form
   120,273/259,612.50 = 259,612.50/x
3. Step 3: Cross multiply
   120,273x = 259,612.50 × 259,612.50
4. Step 4: Simplify right side
   120,273x = 67,398,650,156.25
5. Step 5: Solve for x
   x = 67,398,650,156.25/120,273
6. Step 6: Final answer
   x = 560,380.55