Finding the Third Proportional to 200,057 and 309,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,057 : 309,670.50 = 309,670.50 : x
2. Step 2: Convert to fraction form
   200,057/309,670.50 = 309,670.50/x
3. Step 3: Cross multiply
   200,057x = 309,670.50 × 309,670.50
4. Step 4: Simplify right side
   200,057x = 95,895,818,570.25
5. Step 5: Solve for x
   x = 95,895,818,570.25/200,057
6. Step 6: Final answer
   x = 479,342.48