Finding the Third Proportional to 123,154 and 265,136

Step by Step Solution

1. Step 1: Write the proportion equation
   123,154 : 265,136 = 265,136 : x
2. Step 2: Convert to fraction form
   123,154/265,136 = 265,136/x
3. Step 3: Cross multiply
   123,154x = 265,136 × 265,136
4. Step 4: Simplify right side
   123,154x = 70,297,098,496
5. Step 5: Solve for x
   x = 70,297,098,496/123,154
6. Step 6: Final answer
   x = 570,806.46