Finding the Third Proportional to 105,213 and 158,913

Step by Step Solution

1. Step 1: Write the proportion equation
   105,213 : 158,913 = 158,913 : x
2. Step 2: Convert to fraction form
   105,213/158,913 = 158,913/x
3. Step 3: Cross multiply
   105,213x = 158,913 × 158,913
4. Step 4: Simplify right side
   105,213x = 25,253,341,569
5. Step 5: Solve for x
   x = 25,253,341,569/105,213
6. Step 6: Final answer
   x = 240,021.11