Finding the Third Proportional to 142,774 and 187,632

Step by Step Solution

1. Step 1: Write the proportion equation
   142,774 : 187,632 = 187,632 : x
2. Step 2: Convert to fraction form
   142,774/187,632 = 187,632/x
3. Step 3: Cross multiply
   142,774x = 187,632 × 187,632
4. Step 4: Simplify right side
   142,774x = 35,205,767,424
5. Step 5: Solve for x
   x = 35,205,767,424/142,774
6. Step 6: Final answer
   x = 246,583.88