Finding the Third Proportional to 73,164 and 109,434

Step by Step Solution

1. Step 1: Write the proportion equation
   73,164 : 109,434 = 109,434 : x
2. Step 2: Convert to fraction form
   73,164/109,434 = 109,434/x
3. Step 3: Cross multiply
   73,164x = 109,434 × 109,434
4. Step 4: Simplify right side
   73,164x = 11,975,800,356
5. Step 5: Solve for x
   x = 11,975,800,356/73,164
6. Step 6: Final answer
   x = 163,684.33