Finding the Third Proportional to 276,471 and 422,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,471 : 422,725.50 = 422,725.50 : x
2. Step 2: Convert to fraction form
   276,471/422,725.50 = 422,725.50/x
3. Step 3: Cross multiply
   276,471x = 422,725.50 × 422,725.50
4. Step 4: Simplify right side
   276,471x = 178,696,848,350.25
5. Step 5: Solve for x
   x = 178,696,848,350.25/276,471
6. Step 6: Final answer
   x = 646,349.34