Finding the Third Proportional to 224,726 and 491,432

Step by Step Solution

1. Step 1: Write the proportion equation
   224,726 : 491,432 = 491,432 : x
2. Step 2: Convert to fraction form
   224,726/491,432 = 491,432/x
3. Step 3: Cross multiply
   224,726x = 491,432 × 491,432
4. Step 4: Simplify right side
   224,726x = 241,505,410,624
5. Step 5: Solve for x
   x = 241,505,410,624/224,726
6. Step 6: Final answer
   x = 1,074,666.09