Finding the Third Proportional to 73,654 and 116,812

Step by Step Solution

1. Step 1: Write the proportion equation
   73,654 : 116,812 = 116,812 : x
2. Step 2: Convert to fraction form
   73,654/116,812 = 116,812/x
3. Step 3: Cross multiply
   73,654x = 116,812 × 116,812
4. Step 4: Simplify right side
   73,654x = 13,645,043,344
5. Step 5: Solve for x
   x = 13,645,043,344/73,654
6. Step 6: Final answer
   x = 185,258.69