Finding the Third Proportional to 69,692 and 105,186

Step by Step Solution

1. Step 1: Write the proportion equation
   69,692 : 105,186 = 105,186 : x
2. Step 2: Convert to fraction form
   69,692/105,186 = 105,186/x
3. Step 3: Cross multiply
   69,692x = 105,186 × 105,186
4. Step 4: Simplify right side
   69,692x = 11,064,094,596
5. Step 5: Solve for x
   x = 11,064,094,596/69,692
6. Step 6: Final answer
   x = 158,757.03