Finding the Third Proportional to 91,780 and 139,416

Step by Step Solution

1. Step 1: Write the proportion equation
   91,780 : 139,416 = 139,416 : x
2. Step 2: Convert to fraction form
   91,780/139,416 = 139,416/x
3. Step 3: Cross multiply
   91,780x = 139,416 × 139,416
4. Step 4: Simplify right side
   91,780x = 19,436,821,056
5. Step 5: Solve for x
   x = 19,436,821,056/91,780
6. Step 6: Final answer
   x = 211,776.22