Finding the Third Proportional to 200,259.84 and 309,978.14

Step by Step Solution

1. Step 1: Write the proportion equation
   200,259.84 : 309,978.14 = 309,978.14 : x
2. Step 2: Convert to fraction form
   200,259.84/309,978.14 = 309,978.14/x
3. Step 3: Cross multiply
   200,259.84x = 309,978.14 × 309,978.14
4. Step 4: Simplify right side
   200,259.84x = 96,086,447,665.33
5. Step 5: Solve for x
   x = 96,086,447,665.33/200,259.84
6. Step 6: Final answer
   x = 479,808.86