Finding the Third Proportional to 191,152 and 415,016

Step by Step Solution

1. Step 1: Write the proportion equation
   191,152 : 415,016 = 415,016 : x
2. Step 2: Convert to fraction form
   191,152/415,016 = 415,016/x
3. Step 3: Cross multiply
   191,152x = 415,016 × 415,016
4. Step 4: Simplify right side
   191,152x = 172,238,280,256
5. Step 5: Solve for x
   x = 172,238,280,256/191,152
6. Step 6: Final answer
   x = 901,054.03