Finding the Third Proportional to 291,874.50 and 641,214

Step by Step Solution

1. Step 1: Write the proportion equation
   291,874.50 : 641,214 = 641,214 : x
2. Step 2: Convert to fraction form
   291,874.50/641,214 = 641,214/x
3. Step 3: Cross multiply
   291,874.50x = 641,214 × 641,214
4. Step 4: Simplify right side
   291,874.50x = 411,155,393,796
5. Step 5: Solve for x
   x = 411,155,393,796/291,874.50
6. Step 6: Final answer
   x = 1,408,671.86