Finding the Third Proportional to 200,262 and 311,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,262 : 311,881.50 = 311,881.50 : x
2. Step 2: Convert to fraction form
   200,262/311,881.50 = 311,881.50/x
3. Step 3: Cross multiply
   200,262x = 311,881.50 × 311,881.50
4. Step 4: Simplify right side
   200,262x = 97,270,070,042.25
5. Step 5: Solve for x
   x = 97,270,070,042.25/200,262
6. Step 6: Final answer
   x = 485,714.06