Finding the Third Proportional to 103,774 and 155,662

Step by Step Solution

1. Step 1: Write the proportion equation
   103,774 : 155,662 = 155,662 : x
2. Step 2: Convert to fraction form
   103,774/155,662 = 155,662/x
3. Step 3: Cross multiply
   103,774x = 155,662 × 155,662
4. Step 4: Simplify right side
   103,774x = 24,230,658,244
5. Step 5: Solve for x
   x = 24,230,658,244/103,774
6. Step 6: Final answer
   x = 233,494.50