Finding the Third Proportional to 91,784 and 139,422

Step by Step Solution

1. Step 1: Write the proportion equation
   91,784 : 139,422 = 139,422 : x
2. Step 2: Convert to fraction form
   91,784/139,422 = 139,422/x
3. Step 3: Cross multiply
   91,784x = 139,422 × 139,422
4. Step 4: Simplify right side
   91,784x = 19,438,494,084
5. Step 5: Solve for x
   x = 19,438,494,084/91,784
6. Step 6: Final answer
   x = 211,785.21