Finding the Third Proportional to 64,782 and 139,498

Step by Step Solution

1. Step 1: Write the proportion equation
   64,782 : 139,498 = 139,498 : x
2. Step 2: Convert to fraction form
   64,782/139,498 = 139,498/x
3. Step 3: Cross multiply
   64,782x = 139,498 × 139,498
4. Step 4: Simplify right side
   64,782x = 19,459,692,004
5. Step 5: Solve for x
   x = 19,459,692,004/64,782
6. Step 6: Final answer
   x = 300,387.33