Finding the Third Proportional to 101,146.50 and 208,827

Step by Step Solution

1. Step 1: Write the proportion equation
   101,146.50 : 208,827 = 208,827 : x
2. Step 2: Convert to fraction form
   101,146.50/208,827 = 208,827/x
3. Step 3: Cross multiply
   101,146.50x = 208,827 × 208,827
4. Step 4: Simplify right side
   101,146.50x = 43,608,715,929
5. Step 5: Solve for x
   x = 43,608,715,929/101,146.50
6. Step 6: Final answer
   x = 431,144.09