Finding the Third Proportional to 162,537 and 259,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,537 : 259,549.50 = 259,549.50 : x
2. Step 2: Convert to fraction form
   162,537/259,549.50 = 259,549.50/x
3. Step 3: Cross multiply
   162,537x = 259,549.50 × 259,549.50
4. Step 4: Simplify right side
   162,537x = 67,365,942,950.25
5. Step 5: Solve for x
   x = 67,365,942,950.25/162,537
6. Step 6: Final answer
   x = 414,465.28