Finding the Third Proportional to 458,932 and 645,136

Step by Step Solution

1. Step 1: Write the proportion equation
   458,932 : 645,136 = 645,136 : x
2. Step 2: Convert to fraction form
   458,932/645,136 = 645,136/x
3. Step 3: Cross multiply
   458,932x = 645,136 × 645,136
4. Step 4: Simplify right side
   458,932x = 416,200,458,496
5. Step 5: Solve for x
   x = 416,200,458,496/458,932
6. Step 6: Final answer
   x = 906,889.17