Finding the Third Proportional to 73,870 and 161,106

Step by Step Solution

1. Step 1: Write the proportion equation
   73,870 : 161,106 = 161,106 : x
2. Step 2: Convert to fraction form
   73,870/161,106 = 161,106/x
3. Step 3: Cross multiply
   73,870x = 161,106 × 161,106
4. Step 4: Simplify right side
   73,870x = 25,955,143,236
5. Step 5: Solve for x
   x = 25,955,143,236/73,870
6. Step 6: Final answer
   x = 351,362.44