Finding the Third Proportional to 147,704 and 322,141

Step by Step Solution

1. Step 1: Write the proportion equation
   147,704 : 322,141 = 322,141 : x
2. Step 2: Convert to fraction form
   147,704/322,141 = 322,141/x
3. Step 3: Cross multiply
   147,704x = 322,141 × 322,141
4. Step 4: Simplify right side
   147,704x = 103,774,823,881
5. Step 5: Solve for x
   x = 103,774,823,881/147,704
6. Step 6: Final answer
   x = 702,586.42