Finding the Third Proportional to 677,136 and 1,456,224

Step by Step Solution

1. Step 1: Write the proportion equation
   677,136 : 1,456,224 = 1,456,224 : x
2. Step 2: Convert to fraction form
   677,136/1,456,224 = 1,456,224/x
3. Step 3: Cross multiply
   677,136x = 1,456,224 × 1,456,224
4. Step 4: Simplify right side
   677,136x = 2,120,588,338,176
5. Step 5: Solve for x
   x = 2,120,588,338,176/677,136
6. Step 6: Final answer
   x = 3,131,702.26