Finding the Third Proportional to 401,106 and 601,746

Step by Step Solution

1. Step 1: Write the proportion equation
   401,106 : 601,746 = 601,746 : x
2. Step 2: Convert to fraction form
   401,106/601,746 = 601,746/x
3. Step 3: Cross multiply
   401,106x = 601,746 × 601,746
4. Step 4: Simplify right side
   401,106x = 362,098,248,516
5. Step 5: Solve for x
   x = 362,098,248,516/401,106
6. Step 6: Final answer
   x = 902,749.52