Finding the Third Proportional to 102,323.25 and 208,807.88

Step by Step Solution

1. Step 1: Write the proportion equation
   102,323.25 : 208,807.88 = 208,807.88 : x
2. Step 2: Convert to fraction form
   102,323.25/208,807.88 = 208,807.88/x
3. Step 3: Cross multiply
   102,323.25x = 208,807.88 × 208,807.88
4. Step 4: Simplify right side
   102,323.25x = 43,600,728,662.02
5. Step 5: Solve for x
   x = 43,600,728,662.02/102,323.25
6. Step 6: Final answer
   x = 426,107.74