Finding the Third Proportional to 82,351 and 111,861

Step by Step Solution

1. Step 1: Write the proportion equation
   82,351 : 111,861 = 111,861 : x
2. Step 2: Convert to fraction form
   82,351/111,861 = 111,861/x
3. Step 3: Cross multiply
   82,351x = 111,861 × 111,861
4. Step 4: Simplify right side
   82,351x = 12,512,883,321
5. Step 5: Solve for x
   x = 12,512,883,321/82,351
6. Step 6: Final answer
   x = 151,945.74