Finding the Third Proportional to 96,776.50 and 208,384

Step by Step Solution

1. Step 1: Write the proportion equation
   96,776.50 : 208,384 = 208,384 : x
2. Step 2: Convert to fraction form
   96,776.50/208,384 = 208,384/x
3. Step 3: Cross multiply
   96,776.50x = 208,384 × 208,384
4. Step 4: Simplify right side
   96,776.50x = 43,423,891,456
5. Step 5: Solve for x
   x = 43,423,891,456/96,776.50
6. Step 6: Final answer
   x = 448,702.85