Finding the Third Proportional to 69,684 and 105,174

Step by Step Solution

1. Step 1: Write the proportion equation
   69,684 : 105,174 = 105,174 : x
2. Step 2: Convert to fraction form
   69,684/105,174 = 105,174/x
3. Step 3: Cross multiply
   69,684x = 105,174 × 105,174
4. Step 4: Simplify right side
   69,684x = 11,061,570,276
5. Step 5: Solve for x
   x = 11,061,570,276/69,684
6. Step 6: Final answer
   x = 158,739.03