Finding the Third Proportional to 73,566 and 114,118

Step by Step Solution

1. Step 1: Write the proportion equation
   73,566 : 114,118 = 114,118 : x
2. Step 2: Convert to fraction form
   73,566/114,118 = 114,118/x
3. Step 3: Cross multiply
   73,566x = 114,118 × 114,118
4. Step 4: Simplify right side
   73,566x = 13,022,917,924
5. Step 5: Solve for x
   x = 13,022,917,924/73,566
6. Step 6: Final answer
   x = 177,023.60