Finding the Third Proportional to 96,382 and 208,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,382 : 208,851.50 = 208,851.50 : x
2. Step 2: Convert to fraction form
   96,382/208,851.50 = 208,851.50/x
3. Step 3: Cross multiply
   96,382x = 208,851.50 × 208,851.50
4. Step 4: Simplify right side
   96,382x = 43,618,949,052.25
5. Step 5: Solve for x
   x = 43,618,949,052.25/96,382
6. Step 6: Final answer
   x = 452,563.23