Finding the Third Proportional to 120,001.50 and 259,254

Step by Step Solution

1. Step 1: Write the proportion equation
   120,001.50 : 259,254 = 259,254 : x
2. Step 2: Convert to fraction form
   120,001.50/259,254 = 259,254/x
3. Step 3: Cross multiply
   120,001.50x = 259,254 × 259,254
4. Step 4: Simplify right side
   120,001.50x = 67,212,636,516
5. Step 5: Solve for x
   x = 67,212,636,516/120,001.50
6. Step 6: Final answer
   x = 560,098.30