Finding the Third Proportional to 210,091 and 302,014

Step by Step Solution

1. Step 1: Write the proportion equation
   210,091 : 302,014 = 302,014 : x
2. Step 2: Convert to fraction form
   210,091/302,014 = 302,014/x
3. Step 3: Cross multiply
   210,091x = 302,014 × 302,014
4. Step 4: Simplify right side
   210,091x = 91,212,456,196
5. Step 5: Solve for x
   x = 91,212,456,196/210,091
6. Step 6: Final answer
   x = 434,156.89