Finding the Third Proportional to 105,083 and 158,719

Step by Step Solution

1. Step 1: Write the proportion equation
   105,083 : 158,719 = 158,719 : x
2. Step 2: Convert to fraction form
   105,083/158,719 = 158,719/x
3. Step 3: Cross multiply
   105,083x = 158,719 × 158,719
4. Step 4: Simplify right side
   105,083x = 25,191,720,961
5. Step 5: Solve for x
   x = 25,191,720,961/105,083
6. Step 6: Final answer
   x = 239,731.65