Finding the Third Proportional to 401,106 and 601,738

Step by Step Solution

1. Step 1: Write the proportion equation
   401,106 : 601,738 = 601,738 : x
2. Step 2: Convert to fraction form
   401,106/601,738 = 601,738/x
3. Step 3: Cross multiply
   401,106x = 601,738 × 601,738
4. Step 4: Simplify right side
   401,106x = 362,088,620,644
5. Step 5: Solve for x
   x = 362,088,620,644/401,106
6. Step 6: Final answer
   x = 902,725.52