Finding the Third Proportional to 258,166 and 562,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,166 : 562,262.50 = 562,262.50 : x
2. Step 2: Convert to fraction form
   258,166/562,262.50 = 562,262.50/x
3. Step 3: Cross multiply
   258,166x = 562,262.50 × 562,262.50
4. Step 4: Simplify right side
   258,166x = 316,139,118,906.25
5. Step 5: Solve for x
   x = 316,139,118,906.25/258,166
6. Step 6: Final answer
   x = 1,224,557.53