Finding the Third Proportional to 152,168 and 234,188

Step by Step Solution

1. Step 1: Write the proportion equation
   152,168 : 234,188 = 234,188 : x
2. Step 2: Convert to fraction form
   152,168/234,188 = 234,188/x
3. Step 3: Cross multiply
   152,168x = 234,188 × 234,188
4. Step 4: Simplify right side
   152,168x = 54,844,019,344
5. Step 5: Solve for x
   x = 54,844,019,344/152,168
6. Step 6: Final answer
   x = 360,417.56