Finding the Third Proportional to 213,096 and 323,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,096 : 323,531.50 = 323,531.50 : x
2. Step 2: Convert to fraction form
   213,096/323,531.50 = 323,531.50/x
3. Step 3: Cross multiply
   213,096x = 323,531.50 × 323,531.50
4. Step 4: Simplify right side
   213,096x = 104,672,631,492.25
5. Step 5: Solve for x
   x = 104,672,631,492.25/213,096
6. Step 6: Final answer
   x = 491,199.42