Finding the Third Proportional to 75,108 and 105,012

Step by Step Solution

1. Step 1: Write the proportion equation
   75,108 : 105,012 = 105,012 : x
2. Step 2: Convert to fraction form
   75,108/105,012 = 105,012/x
3. Step 3: Cross multiply
   75,108x = 105,012 × 105,012
4. Step 4: Simplify right side
   75,108x = 11,027,520,144
5. Step 5: Solve for x
   x = 11,027,520,144/75,108
6. Step 6: Final answer
   x = 146,822.18