Finding the Third Proportional to 224,424 and 491,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,424 : 491,764.50 = 491,764.50 : x
2. Step 2: Convert to fraction form
   224,424/491,764.50 = 491,764.50/x
3. Step 3: Cross multiply
   224,424x = 491,764.50 × 491,764.50
4. Step 4: Simplify right side
   224,424x = 241,832,323,460.25
5. Step 5: Solve for x
   x = 241,832,323,460.25/224,424
6. Step 6: Final answer
   x = 1,077,568.90