Finding the Third Proportional to 185,114 and 397,012

Step by Step Solution

1. Step 1: Write the proportion equation
   185,114 : 397,012 = 397,012 : x
2. Step 2: Convert to fraction form
   185,114/397,012 = 397,012/x
3. Step 3: Cross multiply
   185,114x = 397,012 × 397,012
4. Step 4: Simplify right side
   185,114x = 157,618,528,144
5. Step 5: Solve for x
   x = 157,618,528,144/185,114
6. Step 6: Final answer
   x = 851,467.36