Finding the Third Proportional to 76,752 and 115,200

Step by Step Solution

1. Step 1: Write the proportion equation
   76,752 : 115,200 = 115,200 : x
2. Step 2: Convert to fraction form
   76,752/115,200 = 115,200/x
3. Step 3: Cross multiply
   76,752x = 115,200 × 115,200
4. Step 4: Simplify right side
   76,752x = 13,271,040,000
5. Step 5: Solve for x
   x = 13,271,040,000/76,752
6. Step 6: Final answer
   x = 172,908.07