Finding the Third Proportional to 103,971 and 158,145

Step by Step Solution

1. Step 1: Write the proportion equation
   103,971 : 158,145 = 158,145 : x
2. Step 2: Convert to fraction form
   103,971/158,145 = 158,145/x
3. Step 3: Cross multiply
   103,971x = 158,145 × 158,145
4. Step 4: Simplify right side
   103,971x = 25,009,841,025
5. Step 5: Solve for x
   x = 25,009,841,025/103,971
6. Step 6: Final answer
   x = 240,546.32