Finding the Third Proportional to 97,326 and 209,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,326 : 209,200.50 = 209,200.50 : x
2. Step 2: Convert to fraction form
   97,326/209,200.50 = 209,200.50/x
3. Step 3: Cross multiply
   97,326x = 209,200.50 × 209,200.50
4. Step 4: Simplify right side
   97,326x = 43,764,849,200.25
5. Step 5: Solve for x
   x = 43,764,849,200.25/97,326
6. Step 6: Final answer
   x = 449,672.74