Finding the Third Proportional to 96,782 and 208,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,782 : 208,395.50 = 208,395.50 : x
2. Step 2: Convert to fraction form
   96,782/208,395.50 = 208,395.50/x
3. Step 3: Cross multiply
   96,782x = 208,395.50 × 208,395.50
4. Step 4: Simplify right side
   96,782x = 43,428,684,420.25
5. Step 5: Solve for x
   x = 43,428,684,420.25/96,782
6. Step 6: Final answer
   x = 448,726.88