Finding the Third Proportional to 105,417 and 165,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,417 : 165,037.50 = 165,037.50 : x
2. Step 2: Convert to fraction form
   105,417/165,037.50 = 165,037.50/x
3. Step 3: Cross multiply
   105,417x = 165,037.50 × 165,037.50
4. Step 4: Simplify right side
   105,417x = 27,237,376,406.25
5. Step 5: Solve for x
   x = 27,237,376,406.25/105,417
6. Step 6: Final answer
   x = 258,377.46