Finding the Third Proportional to 78,018 and 114,250

Step by Step Solution

1. Step 1: Write the proportion equation
   78,018 : 114,250 = 114,250 : x
2. Step 2: Convert to fraction form
   78,018/114,250 = 114,250/x
3. Step 3: Cross multiply
   78,018x = 114,250 × 114,250
4. Step 4: Simplify right side
   78,018x = 13,053,062,500
5. Step 5: Solve for x
   x = 13,053,062,500/78,018
6. Step 6: Final answer
   x = 167,308.35