Finding the Third Proportional to 70,111 and 106,003

Step by Step Solution

1. Step 1: Write the proportion equation
   70,111 : 106,003 = 106,003 : x
2. Step 2: Convert to fraction form
   70,111/106,003 = 106,003/x
3. Step 3: Cross multiply
   70,111x = 106,003 × 106,003
4. Step 4: Simplify right side
   70,111x = 11,236,636,009
5. Step 5: Solve for x
   x = 11,236,636,009/70,111
6. Step 6: Final answer
   x = 160,269.23