Finding the Third Proportional to 262,611 and 384,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,611 : 384,601.50 = 384,601.50 : x
2. Step 2: Convert to fraction form
   262,611/384,601.50 = 384,601.50/x
3. Step 3: Cross multiply
   262,611x = 384,601.50 × 384,601.50
4. Step 4: Simplify right side
   262,611x = 147,918,313,802.25
5. Step 5: Solve for x
   x = 147,918,313,802.25/262,611
6. Step 6: Final answer
   x = 563,260.16