Finding the Third Proportional to 103,457 and 165,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,457 : 165,297.50 = 165,297.50 : x
2. Step 2: Convert to fraction form
   103,457/165,297.50 = 165,297.50/x
3. Step 3: Cross multiply
   103,457x = 165,297.50 × 165,297.50
4. Step 4: Simplify right side
   103,457x = 27,323,263,506.25
5. Step 5: Solve for x
   x = 27,323,263,506.25/103,457
6. Step 6: Final answer
   x = 264,102.61