Finding the Third Proportional to 105,011 and 155,868

Step by Step Solution

1. Step 1: Write the proportion equation
   105,011 : 155,868 = 155,868 : x
2. Step 2: Convert to fraction form
   105,011/155,868 = 155,868/x
3. Step 3: Cross multiply
   105,011x = 155,868 × 155,868
4. Step 4: Simplify right side
   105,011x = 24,294,833,424
5. Step 5: Solve for x
   x = 24,294,833,424/105,011
6. Step 6: Final answer
   x = 231,355.13