Finding the Third Proportional to 413,946 and 907,380

Step by Step Solution

1. Step 1: Write the proportion equation
   413,946 : 907,380 = 907,380 : x
2. Step 2: Convert to fraction form
   413,946/907,380 = 907,380/x
3. Step 3: Cross multiply
   413,946x = 907,380 × 907,380
4. Step 4: Simplify right side
   413,946x = 823,338,464,400
5. Step 5: Solve for x
   x = 823,338,464,400/413,946
6. Step 6: Final answer
   x = 1,988,999.69