Finding the Third Proportional to 72,278 and 109,434

Step by Step Solution

1. Step 1: Write the proportion equation
   72,278 : 109,434 = 109,434 : x
2. Step 2: Convert to fraction form
   72,278/109,434 = 109,434/x
3. Step 3: Cross multiply
   72,278x = 109,434 × 109,434
4. Step 4: Simplify right side
   72,278x = 11,975,800,356
5. Step 5: Solve for x
   x = 11,975,800,356/72,278
6. Step 6: Final answer
   x = 165,690.81