Finding the Third Proportional to 210,118 and 314,434

Step by Step Solution

1. Step 1: Write the proportion equation
   210,118 : 314,434 = 314,434 : x
2. Step 2: Convert to fraction form
   210,118/314,434 = 314,434/x
3. Step 3: Cross multiply
   210,118x = 314,434 × 314,434
4. Step 4: Simplify right side
   210,118x = 98,868,740,356
5. Step 5: Solve for x
   x = 98,868,740,356/210,118
6. Step 6: Final answer
   x = 470,539.13