Finding the Third Proportional to 105,376.50 and 248,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,376.50 : 248,746.50 = 248,746.50 : x
2. Step 2: Convert to fraction form
   105,376.50/248,746.50 = 248,746.50/x
3. Step 3: Cross multiply
   105,376.50x = 248,746.50 × 248,746.50
4. Step 4: Simplify right side
   105,376.50x = 61,874,821,262.25
5. Step 5: Solve for x
   x = 61,874,821,262.25/105,376.50
6. Step 6: Final answer
   x = 587,178.56