Finding the Third Proportional to 81,762 and 109,878

Step by Step Solution

1. Step 1: Write the proportion equation
   81,762 : 109,878 = 109,878 : x
2. Step 2: Convert to fraction form
   81,762/109,878 = 109,878/x
3. Step 3: Cross multiply
   81,762x = 109,878 × 109,878
4. Step 4: Simplify right side
   81,762x = 12,073,174,884
5. Step 5: Solve for x
   x = 12,073,174,884/81,762
6. Step 6: Final answer
   x = 147,662.42