Finding the Third Proportional to 105,028 and 158,070

Step by Step Solution

1. Step 1: Write the proportion equation
   105,028 : 158,070 = 158,070 : x
2. Step 2: Convert to fraction form
   105,028/158,070 = 158,070/x
3. Step 3: Cross multiply
   105,028x = 158,070 × 158,070
4. Step 4: Simplify right side
   105,028x = 24,986,124,900
5. Step 5: Solve for x
   x = 24,986,124,900/105,028
6. Step 6: Final answer
   x = 237,899.65