Finding the Third Proportional to 78,768 and 118,152

Step by Step Solution

1. Step 1: Write the proportion equation
   78,768 : 118,152 = 118,152 : x
2. Step 2: Convert to fraction form
   78,768/118,152 = 118,152/x
3. Step 3: Cross multiply
   78,768x = 118,152 × 118,152
4. Step 4: Simplify right side
   78,768x = 13,959,895,104
5. Step 5: Solve for x
   x = 13,959,895,104/78,768
6. Step 6: Final answer
   x = 177,228