Finding the Third Proportional to 75,118 and 105,014

Step by Step Solution

1. Step 1: Write the proportion equation
   75,118 : 105,014 = 105,014 : x
2. Step 2: Convert to fraction form
   75,118/105,014 = 105,014/x
3. Step 3: Cross multiply
   75,118x = 105,014 × 105,014
4. Step 4: Simplify right side
   75,118x = 11,027,940,196
5. Step 5: Solve for x
   x = 11,027,940,196/75,118
6. Step 6: Final answer
   x = 146,808.22