Finding the Third Proportional to 191,580 and 416,322

Step by Step Solution

1. Step 1: Write the proportion equation
   191,580 : 416,322 = 416,322 : x
2. Step 2: Convert to fraction form
   191,580/416,322 = 416,322/x
3. Step 3: Cross multiply
   191,580x = 416,322 × 416,322
4. Step 4: Simplify right side
   191,580x = 173,324,007,684
5. Step 5: Solve for x
   x = 173,324,007,684/191,580
6. Step 6: Final answer
   x = 904,708.26