Finding the Third Proportional to 200,262.50 and 309,982

Step by Step Solution

1. Step 1: Write the proportion equation
   200,262.50 : 309,982 = 309,982 : x
2. Step 2: Convert to fraction form
   200,262.50/309,982 = 309,982/x
3. Step 3: Cross multiply
   200,262.50x = 309,982 × 309,982
4. Step 4: Simplify right side
   200,262.50x = 96,088,840,324
5. Step 5: Solve for x
   x = 96,088,840,324/200,262.50
6. Step 6: Final answer
   x = 479,814.45