Finding the Third Proportional to 70,906 and 109,777

Step by Step Solution

1. Step 1: Write the proportion equation
   70,906 : 109,777 = 109,777 : x
2. Step 2: Convert to fraction form
   70,906/109,777 = 109,777/x
3. Step 3: Cross multiply
   70,906x = 109,777 × 109,777
4. Step 4: Simplify right side
   70,906x = 12,050,989,729
5. Step 5: Solve for x
   x = 12,050,989,729/70,906
6. Step 6: Final answer
   x = 169,957.26