Finding the Third Proportional to 106,827 and 230,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,827 : 230,785.50 = 230,785.50 : x
2. Step 2: Convert to fraction form
   106,827/230,785.50 = 230,785.50/x
3. Step 3: Cross multiply
   106,827x = 230,785.50 × 230,785.50
4. Step 4: Simplify right side
   106,827x = 53,261,947,010.25
5. Step 5: Solve for x
   x = 53,261,947,010.25/106,827
6. Step 6: Final answer
   x = 498,581.32