Finding the Third Proportional to 120,713.50 and 259,835

Step by Step Solution

1. Step 1: Write the proportion equation
   120,713.50 : 259,835 = 259,835 : x
2. Step 2: Convert to fraction form
   120,713.50/259,835 = 259,835/x
3. Step 3: Cross multiply
   120,713.50x = 259,835 × 259,835
4. Step 4: Simplify right side
   120,713.50x = 67,514,227,225
5. Step 5: Solve for x
   x = 67,514,227,225/120,713.50
6. Step 6: Final answer
   x = 559,293.10