Finding the Third Proportional to 96,384.38 and 208,857.38

Step by Step Solution

1. Step 1: Write the proportion equation
   96,384.38 : 208,857.38 = 208,857.38 : x
2. Step 2: Convert to fraction form
   96,384.38/208,857.38 = 208,857.38/x
3. Step 3: Cross multiply
   96,384.38x = 208,857.38 × 208,857.38
4. Step 4: Simplify right side
   96,384.38x = 43,621,403,091.89
5. Step 5: Solve for x
   x = 43,621,403,091.89/96,384.38
6. Step 6: Final answer
   x = 452,577.54