Finding the Third Proportional to 201,946 and 316,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,946 : 316,819.50 = 316,819.50 : x
2. Step 2: Convert to fraction form
   201,946/316,819.50 = 316,819.50/x
3. Step 3: Cross multiply
   201,946x = 316,819.50 × 316,819.50
4. Step 4: Simplify right side
   201,946x = 100,374,595,580.25
5. Step 5: Solve for x
   x = 100,374,595,580.25/201,946
6. Step 6: Final answer
   x = 497,036.81