Finding the Third Proportional to 277,204 and 429,054

Step by Step Solution

1. Step 1: Write the proportion equation
   277,204 : 429,054 = 429,054 : x
2. Step 2: Convert to fraction form
   277,204/429,054 = 429,054/x
3. Step 3: Cross multiply
   277,204x = 429,054 × 429,054
4. Step 4: Simplify right side
   277,204x = 184,087,334,916
5. Step 5: Solve for x
   x = 184,087,334,916/277,204
6. Step 6: Final answer
   x = 664,086.14