Finding the Third Proportional to 105,021 and 155,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,021 : 155,884.50 = 155,884.50 : x
2. Step 2: Convert to fraction form
   105,021/155,884.50 = 155,884.50/x
3. Step 3: Cross multiply
   105,021x = 155,884.50 × 155,884.50
4. Step 4: Simplify right side
   105,021x = 24,299,977,340.25
5. Step 5: Solve for x
   x = 24,299,977,340.25/105,021
6. Step 6: Final answer
   x = 231,382.08