Finding the Third Proportional to 58,136 and 123,880

Step by Step Solution

1. Step 1: Write the proportion equation
   58,136 : 123,880 = 123,880 : x
2. Step 2: Convert to fraction form
   58,136/123,880 = 123,880/x
3. Step 3: Cross multiply
   58,136x = 123,880 × 123,880
4. Step 4: Simplify right side
   58,136x = 15,346,254,400
5. Step 5: Solve for x
   x = 15,346,254,400/58,136
6. Step 6: Final answer
   x = 263,971.63