Finding the Third Proportional to 118,144 and 159,152

Step by Step Solution

1. Step 1: Write the proportion equation
   118,144 : 159,152 = 159,152 : x
2. Step 2: Convert to fraction form
   118,144/159,152 = 159,152/x
3. Step 3: Cross multiply
   118,144x = 159,152 × 159,152
4. Step 4: Simplify right side
   118,144x = 25,329,359,104
5. Step 5: Solve for x
   x = 25,329,359,104/118,144
6. Step 6: Final answer
   x = 214,393.95