Finding the Third Proportional to 416,262 and 553,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,262 : 553,396.50 = 553,396.50 : x
2. Step 2: Convert to fraction form
   416,262/553,396.50 = 553,396.50/x
3. Step 3: Cross multiply
   416,262x = 553,396.50 × 553,396.50
4. Step 4: Simplify right side
   416,262x = 306,247,686,212.25
5. Step 5: Solve for x
   x = 306,247,686,212.25/416,262
6. Step 6: Final answer
   x = 735,708.97