Finding the Third Proportional to 122,364.50 and 270,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,364.50 : 270,932.50 = 270,932.50 : x
2. Step 2: Convert to fraction form
   122,364.50/270,932.50 = 270,932.50/x
3. Step 3: Cross multiply
   122,364.50x = 270,932.50 × 270,932.50
4. Step 4: Simplify right side
   122,364.50x = 73,404,419,556.25
5. Step 5: Solve for x
   x = 73,404,419,556.25/122,364.50
6. Step 6: Final answer
   x = 599,883.30