Finding the Third Proportional to 99,540 and 208,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,540 : 208,300.50 = 208,300.50 : x
2. Step 2: Convert to fraction form
   99,540/208,300.50 = 208,300.50/x
3. Step 3: Cross multiply
   99,540x = 208,300.50 × 208,300.50
4. Step 4: Simplify right side
   99,540x = 43,389,098,300.25
5. Step 5: Solve for x
   x = 43,389,098,300.25/99,540
6. Step 6: Final answer
   x = 435,896.11