Finding the Third Proportional to 413,000 and 607,404

Step by Step Solution

1. Step 1: Write the proportion equation
   413,000 : 607,404 = 607,404 : x
2. Step 2: Convert to fraction form
   413,000/607,404 = 607,404/x
3. Step 3: Cross multiply
   413,000x = 607,404 × 607,404
4. Step 4: Simplify right side
   413,000x = 368,939,619,216
5. Step 5: Solve for x
   x = 368,939,619,216/413,000
6. Step 6: Final answer
   x = 893,316.27