Finding the Third Proportional to 165,005 and 257,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,005 : 257,362.50 = 257,362.50 : x
2. Step 2: Convert to fraction form
   165,005/257,362.50 = 257,362.50/x
3. Step 3: Cross multiply
   165,005x = 257,362.50 × 257,362.50
4. Step 4: Simplify right side
   165,005x = 66,235,456,406.25
5. Step 5: Solve for x
   x = 66,235,456,406.25/165,005
6. Step 6: Final answer
   x = 401,414.84