Finding the Third Proportional to 262,314 and 384,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,314 : 384,772.50 = 384,772.50 : x
2. Step 2: Convert to fraction form
   262,314/384,772.50 = 384,772.50/x
3. Step 3: Cross multiply
   262,314x = 384,772.50 × 384,772.50
4. Step 4: Simplify right side
   262,314x = 148,049,876,756.25
5. Step 5: Solve for x
   x = 148,049,876,756.25/262,314
6. Step 6: Final answer
   x = 564,399.45