Finding the Third Proportional to 359,202 and 523,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   359,202 : 523,007.25 = 523,007.25 : x
2. Step 2: Convert to fraction form
   359,202/523,007.25 = 523,007.25/x
3. Step 3: Cross multiply
   359,202x = 523,007.25 × 523,007.25
4. Step 4: Simplify right side
   359,202x = 273,536,583,552.56
5. Step 5: Solve for x
   x = 273,536,583,552.56/359,202
6. Step 6: Final answer
   x = 761,511.86