Finding the Third Proportional to 165,936 and 257,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,936 : 257,368.50 = 257,368.50 : x
2. Step 2: Convert to fraction form
   165,936/257,368.50 = 257,368.50/x
3. Step 3: Cross multiply
   165,936x = 257,368.50 × 257,368.50
4. Step 4: Simplify right side
   165,936x = 66,238,544,792.25
5. Step 5: Solve for x
   x = 66,238,544,792.25/165,936
6. Step 6: Final answer
   x = 399,181.28