Finding the Third Proportional to 359,198 and 523,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,198 : 523,001.50 = 523,001.50 : x
2. Step 2: Convert to fraction form
   359,198/523,001.50 = 523,001.50/x
3. Step 3: Cross multiply
   359,198x = 523,001.50 × 523,001.50
4. Step 4: Simplify right side
   359,198x = 273,530,569,002.25
5. Step 5: Solve for x
   x = 273,530,569,002.25/359,198
6. Step 6: Final answer
   x = 761,503.60