Finding the Third Proportional to 134,924 and 294,144

Step by Step Solution

1. Step 1: Write the proportion equation
   134,924 : 294,144 = 294,144 : x
2. Step 2: Convert to fraction form
   134,924/294,144 = 294,144/x
3. Step 3: Cross multiply
   134,924x = 294,144 × 294,144
4. Step 4: Simplify right side
   134,924x = 86,520,692,736
5. Step 5: Solve for x
   x = 86,520,692,736/134,924
6. Step 6: Final answer
   x = 641,255.02