Finding the Third Proportional to 91,782 and 139,419

Step by Step Solution

1. Step 1: Write the proportion equation
   91,782 : 139,419 = 139,419 : x
2. Step 2: Convert to fraction form
   91,782/139,419 = 139,419/x
3. Step 3: Cross multiply
   91,782x = 139,419 × 139,419
4. Step 4: Simplify right side
   91,782x = 19,437,657,561
5. Step 5: Solve for x
   x = 19,437,657,561/91,782
6. Step 6: Final answer
   x = 211,780.71