Finding the Third Proportional to 85,328 and 114,868

Step by Step Solution

1. Step 1: Write the proportion equation
   85,328 : 114,868 = 114,868 : x
2. Step 2: Convert to fraction form
   85,328/114,868 = 114,868/x
3. Step 3: Cross multiply
   85,328x = 114,868 × 114,868
4. Step 4: Simplify right side
   85,328x = 13,194,657,424
5. Step 5: Solve for x
   x = 13,194,657,424/85,328
6. Step 6: Final answer
   x = 154,634.56