Finding the Third Proportional to 82,421 and 111,963

Step by Step Solution

1. Step 1: Write the proportion equation
   82,421 : 111,963 = 111,963 : x
2. Step 2: Convert to fraction form
   82,421/111,963 = 111,963/x
3. Step 3: Cross multiply
   82,421x = 111,963 × 111,963
4. Step 4: Simplify right side
   82,421x = 12,535,713,369
5. Step 5: Solve for x
   x = 12,535,713,369/82,421
6. Step 6: Final answer
   x = 152,093.68