Finding the Third Proportional to 72,400 and 106,012

Step by Step Solution

1. Step 1: Write the proportion equation
   72,400 : 106,012 = 106,012 : x
2. Step 2: Convert to fraction form
   72,400/106,012 = 106,012/x
3. Step 3: Cross multiply
   72,400x = 106,012 × 106,012
4. Step 4: Simplify right side
   72,400x = 11,238,544,144
5. Step 5: Solve for x
   x = 11,238,544,144/72,400
6. Step 6: Final answer
   x = 155,228.51