Finding the Third Proportional to 82,710 and 100,854

Step by Step Solution

1. Step 1: Write the proportion equation
   82,710 : 100,854 = 100,854 : x
2. Step 2: Convert to fraction form
   82,710/100,854 = 100,854/x
3. Step 3: Cross multiply
   82,710x = 100,854 × 100,854
4. Step 4: Simplify right side
   82,710x = 10,171,529,316
5. Step 5: Solve for x
   x = 10,171,529,316/82,710
6. Step 6: Final answer
   x = 122,978.23