Finding the Third Proportional to 105,598 and 229,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,598 : 229,785.50 = 229,785.50 : x
2. Step 2: Convert to fraction form
   105,598/229,785.50 = 229,785.50/x
3. Step 3: Cross multiply
   105,598x = 229,785.50 × 229,785.50
4. Step 4: Simplify right side
   105,598x = 52,801,376,010.25
5. Step 5: Solve for x
   x = 52,801,376,010.25/105,598
6. Step 6: Final answer
   x = 500,022.50