Finding the Third Proportional to 413,946 and 607,290

Step by Step Solution

1. Step 1: Write the proportion equation
   413,946 : 607,290 = 607,290 : x
2. Step 2: Convert to fraction form
   413,946/607,290 = 607,290/x
3. Step 3: Cross multiply
   413,946x = 607,290 × 607,290
4. Step 4: Simplify right side
   413,946x = 368,801,144,100
5. Step 5: Solve for x
   x = 368,801,144,100/413,946
6. Step 6: Final answer
   x = 890,940.23