Finding the Third Proportional to 85,752 and 188,118

Step by Step Solution

1. Step 1: Write the proportion equation
   85,752 : 188,118 = 188,118 : x
2. Step 2: Convert to fraction form
   85,752/188,118 = 188,118/x
3. Step 3: Cross multiply
   85,752x = 188,118 × 188,118
4. Step 4: Simplify right side
   85,752x = 35,388,381,924
5. Step 5: Solve for x
   x = 35,388,381,924/85,752
6. Step 6: Final answer
   x = 412,682.88