Finding the Third Proportional to 69,716 and 105,229

Step by Step Solution

1. Step 1: Write the proportion equation
   69,716 : 105,229 = 105,229 : x
2. Step 2: Convert to fraction form
   69,716/105,229 = 105,229/x
3. Step 3: Cross multiply
   69,716x = 105,229 × 105,229
4. Step 4: Simplify right side
   69,716x = 11,073,142,441
5. Step 5: Solve for x
   x = 11,073,142,441/69,716
6. Step 6: Final answer
   x = 158,832.15