Finding the Third Proportional to 105,705 and 239,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,705 : 239,314.50 = 239,314.50 : x
2. Step 2: Convert to fraction form
   105,705/239,314.50 = 239,314.50/x
3. Step 3: Cross multiply
   105,705x = 239,314.50 × 239,314.50
4. Step 4: Simplify right side
   105,705x = 57,271,429,910.25
5. Step 5: Solve for x
   x = 57,271,429,910.25/105,705
6. Step 6: Final answer
   x = 541,804.36