Finding the Third Proportional to 165,483 and 262,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,483 : 262,156.50 = 262,156.50 : x
2. Step 2: Convert to fraction form
   165,483/262,156.50 = 262,156.50/x
3. Step 3: Cross multiply
   165,483x = 262,156.50 × 262,156.50
4. Step 4: Simplify right side
   165,483x = 68,726,030,492.25
5. Step 5: Solve for x
   x = 68,726,030,492.25/165,483
6. Step 6: Final answer
   x = 415,305.68