Finding the Third Proportional to 99,510 and 208,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,510 : 208,243.50 = 208,243.50 : x
2. Step 2: Convert to fraction form
   99,510/208,243.50 = 208,243.50/x
3. Step 3: Cross multiply
   99,510x = 208,243.50 × 208,243.50
4. Step 4: Simplify right side
   99,510x = 43,365,355,292.25
5. Step 5: Solve for x
   x = 43,365,355,292.25/99,510
6. Step 6: Final answer
   x = 435,788.92