Finding the Third Proportional to 107,007 and 158,970

Step by Step Solution

1. Step 1: Write the proportion equation
   107,007 : 158,970 = 158,970 : x
2. Step 2: Convert to fraction form
   107,007/158,970 = 158,970/x
3. Step 3: Cross multiply
   107,007x = 158,970 × 158,970
4. Step 4: Simplify right side
   107,007x = 25,271,460,900
5. Step 5: Solve for x
   x = 25,271,460,900/107,007
6. Step 6: Final answer
   x = 236,166.43