Finding the Third Proportional to 413,004 and 607,410

Step by Step Solution

1. Step 1: Write the proportion equation
   413,004 : 607,410 = 607,410 : x
2. Step 2: Convert to fraction form
   413,004/607,410 = 607,410/x
3. Step 3: Cross multiply
   413,004x = 607,410 × 607,410
4. Step 4: Simplify right side
   413,004x = 368,946,908,100
5. Step 5: Solve for x
   x = 368,946,908,100/413,004
6. Step 6: Final answer
   x = 893,325.27