Finding the Third Proportional to 73,658 and 116,818

Step by Step Solution

1. Step 1: Write the proportion equation
   73,658 : 116,818 = 116,818 : x
2. Step 2: Convert to fraction form
   73,658/116,818 = 116,818/x
3. Step 3: Cross multiply
   73,658x = 116,818 × 116,818
4. Step 4: Simplify right side
   73,658x = 13,646,445,124
5. Step 5: Solve for x
   x = 13,646,445,124/73,658
6. Step 6: Final answer
   x = 185,267.66