Finding the Third Proportional to 201,910 and 316,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,910 : 316,781.50 = 316,781.50 : x
2. Step 2: Convert to fraction form
   201,910/316,781.50 = 316,781.50/x
3. Step 3: Cross multiply
   201,910x = 316,781.50 × 316,781.50
4. Step 4: Simplify right side
   201,910x = 100,350,518,742.25
5. Step 5: Solve for x
   x = 100,350,518,742.25/201,910
6. Step 6: Final answer
   x = 497,006.18