Finding the Third Proportional to 191,148 and 415,008

Step by Step Solution

1. Step 1: Write the proportion equation
   191,148 : 415,008 = 415,008 : x
2. Step 2: Convert to fraction form
   191,148/415,008 = 415,008/x
3. Step 3: Cross multiply
   191,148x = 415,008 × 415,008
4. Step 4: Simplify right side
   191,148x = 172,231,640,064
5. Step 5: Solve for x
   x = 172,231,640,064/191,148
6. Step 6: Final answer
   x = 901,038.15