Finding the Third Proportional to 107,814 and 230,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,814 : 230,410.50 = 230,410.50 : x
2. Step 2: Convert to fraction form
   107,814/230,410.50 = 230,410.50/x
3. Step 3: Cross multiply
   107,814x = 230,410.50 × 230,410.50
4. Step 4: Simplify right side
   107,814x = 53,088,998,510.25
5. Step 5: Solve for x
   x = 53,088,998,510.25/107,814
6. Step 6: Final answer
   x = 492,412.85