Finding the Third Proportional to 63,830 and 106,012

Step by Step Solution

1. Step 1: Write the proportion equation
   63,830 : 106,012 = 106,012 : x
2. Step 2: Convert to fraction form
   63,830/106,012 = 106,012/x
3. Step 3: Cross multiply
   63,830x = 106,012 × 106,012
4. Step 4: Simplify right side
   63,830x = 11,238,544,144
5. Step 5: Solve for x
   x = 11,238,544,144/63,830
6. Step 6: Final answer
   x = 176,069.94