Finding the Third Proportional to 256,136 and 375,900

Step by Step Solution

1. Step 1: Write the proportion equation
   256,136 : 375,900 = 375,900 : x
2. Step 2: Convert to fraction form
   256,136/375,900 = 375,900/x
3. Step 3: Cross multiply
   256,136x = 375,900 × 375,900
4. Step 4: Simplify right side
   256,136x = 141,300,810,000
5. Step 5: Solve for x
   x = 141,300,810,000/256,136
6. Step 6: Final answer
   x = 551,663.22