Finding the Third Proportional to 199,462.50 and 309,035.25

Step by Step Solution

1. Step 1: Write the proportion equation
   199,462.50 : 309,035.25 = 309,035.25 : x
2. Step 2: Convert to fraction form
   199,462.50/309,035.25 = 309,035.25/x
3. Step 3: Cross multiply
   199,462.50x = 309,035.25 × 309,035.25
4. Step 4: Simplify right side
   199,462.50x = 95,502,785,742.56
5. Step 5: Solve for x
   x = 95,502,785,742.56/199,462.50
6. Step 6: Final answer
   x = 478,800.71