Finding the Third Proportional to 69,085 and 109,857

Step by Step Solution

1. Step 1: Write the proportion equation
   69,085 : 109,857 = 109,857 : x
2. Step 2: Convert to fraction form
   69,085/109,857 = 109,857/x
3. Step 3: Cross multiply
   69,085x = 109,857 × 109,857
4. Step 4: Simplify right side
   69,085x = 12,068,560,449
5. Step 5: Solve for x
   x = 12,068,560,449/69,085
6. Step 6: Final answer
   x = 174,691.47