Finding the Third Proportional to 367,814 and 562,413

Step by Step Solution

1. Step 1: Write the proportion equation
   367,814 : 562,413 = 562,413 : x
2. Step 2: Convert to fraction form
   367,814/562,413 = 562,413/x
3. Step 3: Cross multiply
   367,814x = 562,413 × 562,413
4. Step 4: Simplify right side
   367,814x = 316,308,382,569
5. Step 5: Solve for x
   x = 316,308,382,569/367,814
6. Step 6: Final answer
   x = 859,968.31