Finding the Third Proportional to 105,392 and 248,784

Step by Step Solution

1. Step 1: Write the proportion equation
   105,392 : 248,784 = 248,784 : x
2. Step 2: Convert to fraction form
   105,392/248,784 = 248,784/x
3. Step 3: Cross multiply
   105,392x = 248,784 × 248,784
4. Step 4: Simplify right side
   105,392x = 61,893,478,656
5. Step 5: Solve for x
   x = 61,893,478,656/105,392
6. Step 6: Final answer
   x = 587,269.23