Finding the Third Proportional to 384,264 and 577,631.25

Step by Step Solution

1. Step 1: Write the proportion equation
   384,264 : 577,631.25 = 577,631.25 : x
2. Step 2: Convert to fraction form
   384,264/577,631.25 = 577,631.25/x
3. Step 3: Cross multiply
   384,264x = 577,631.25 × 577,631.25
4. Step 4: Simplify right side
   384,264x = 333,657,860,976.56
5. Step 5: Solve for x
   x = 333,657,860,976.56/384,264
6. Step 6: Final answer
   x = 868,303.72