Finding the Third Proportional to 105,947 and 228,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,947 : 228,698.50 = 228,698.50 : x
2. Step 2: Convert to fraction form
   105,947/228,698.50 = 228,698.50/x
3. Step 3: Cross multiply
   105,947x = 228,698.50 × 228,698.50
4. Step 4: Simplify right side
   105,947x = 52,303,003,902.25
5. Step 5: Solve for x
   x = 52,303,003,902.25/105,947
6. Step 6: Final answer
   x = 493,671.40