Finding the Third Proportional to 69,166 and 105,758

Step by Step Solution

1. Step 1: Write the proportion equation
   69,166 : 105,758 = 105,758 : x
2. Step 2: Convert to fraction form
   69,166/105,758 = 105,758/x
3. Step 3: Cross multiply
   69,166x = 105,758 × 105,758
4. Step 4: Simplify right side
   69,166x = 11,184,754,564
5. Step 5: Solve for x
   x = 11,184,754,564/69,166
6. Step 6: Final answer
   x = 161,708.85