Finding the Third Proportional to 277,224 and 429,084

Step by Step Solution

1. Step 1: Write the proportion equation
   277,224 : 429,084 = 429,084 : x
2. Step 2: Convert to fraction form
   277,224/429,084 = 429,084/x
3. Step 3: Cross multiply
   277,224x = 429,084 × 429,084
4. Step 4: Simplify right side
   277,224x = 184,113,079,056
5. Step 5: Solve for x
   x = 184,113,079,056/277,224
6. Step 6: Final answer
   x = 664,131.10