Finding the Third Proportional to 103,446 and 158,174

Step by Step Solution

1. Step 1: Write the proportion equation
   103,446 : 158,174 = 158,174 : x
2. Step 2: Convert to fraction form
   103,446/158,174 = 158,174/x
3. Step 3: Cross multiply
   103,446x = 158,174 × 158,174
4. Step 4: Simplify right side
   103,446x = 25,019,014,276
5. Step 5: Solve for x
   x = 25,019,014,276/103,446
6. Step 6: Final answer
   x = 241,855.79