Finding the Third Proportional to 137,528 and 185,556

Step by Step Solution

1. Step 1: Write the proportion equation
   137,528 : 185,556 = 185,556 : x
2. Step 2: Convert to fraction form
   137,528/185,556 = 185,556/x
3. Step 3: Cross multiply
   137,528x = 185,556 × 185,556
4. Step 4: Simplify right side
   137,528x = 34,431,029,136
5. Step 5: Solve for x
   x = 34,431,029,136/137,528
6. Step 6: Final answer
   x = 250,356.50