Finding the Third Proportional to 245,564 and 369,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,564 : 369,261.50 = 369,261.50 : x
2. Step 2: Convert to fraction form
   245,564/369,261.50 = 369,261.50/x
3. Step 3: Cross multiply
   245,564x = 369,261.50 × 369,261.50
4. Step 4: Simplify right side
   245,564x = 136,354,055,382.25
5. Step 5: Solve for x
   x = 136,354,055,382.25/245,564
6. Step 6: Final answer
   x = 555,268.91