Finding the Third Proportional to 123,456 and 266,136

Step by Step Solution

1. Step 1: Write the proportion equation
   123,456 : 266,136 = 266,136 : x
2. Step 2: Convert to fraction form
   123,456/266,136 = 266,136/x
3. Step 3: Cross multiply
   123,456x = 266,136 × 266,136
4. Step 4: Simplify right side
   123,456x = 70,828,370,496
5. Step 5: Solve for x
   x = 70,828,370,496/123,456
6. Step 6: Final answer
   x = 573,713.47