Finding the Third Proportional to 45,782 and 96,488

Step by Step Solution

1. Step 1: Write the proportion equation
   45,782 : 96,488 = 96,488 : x
2. Step 2: Convert to fraction form
   45,782/96,488 = 96,488/x
3. Step 3: Cross multiply
   45,782x = 96,488 × 96,488
4. Step 4: Simplify right side
   45,782x = 9,309,934,144
5. Step 5: Solve for x
   x = 9,309,934,144/45,782
6. Step 6: Final answer
   x = 203,353.59