Finding the Third Proportional to 165,189 and 262,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,189 : 262,552.50 = 262,552.50 : x
2. Step 2: Convert to fraction form
   165,189/262,552.50 = 262,552.50/x
3. Step 3: Cross multiply
   165,189x = 262,552.50 × 262,552.50
4. Step 4: Simplify right side
   165,189x = 68,933,815,256.25
5. Step 5: Solve for x
   x = 68,933,815,256.25/165,189
6. Step 6: Final answer
   x = 417,302.70