Finding the Third Proportional to 191,150 and 415,012

Step by Step Solution

1. Step 1: Write the proportion equation
   191,150 : 415,012 = 415,012 : x
2. Step 2: Convert to fraction form
   191,150/415,012 = 415,012/x
3. Step 3: Cross multiply
   191,150x = 415,012 × 415,012
4. Step 4: Simplify right side
   191,150x = 172,234,960,144
5. Step 5: Solve for x
   x = 172,234,960,144/191,150
6. Step 6: Final answer
   x = 901,046.09