Finding the Third Proportional to 78,768 and 115,056

Step by Step Solution

1. Step 1: Write the proportion equation
   78,768 : 115,056 = 115,056 : x
2. Step 2: Convert to fraction form
   78,768/115,056 = 115,056/x
3. Step 3: Cross multiply
   78,768x = 115,056 × 115,056
4. Step 4: Simplify right side
   78,768x = 13,237,883,136
5. Step 5: Solve for x
   x = 13,237,883,136/78,768
6. Step 6: Final answer
   x = 168,061.69