Finding the Third Proportional to 94,322 and 205,012

Step by Step Solution

1. Step 1: Write the proportion equation
   94,322 : 205,012 = 205,012 : x
2. Step 2: Convert to fraction form
   94,322/205,012 = 205,012/x
3. Step 3: Cross multiply
   94,322x = 205,012 × 205,012
4. Step 4: Simplify right side
   94,322x = 42,029,920,144
5. Step 5: Solve for x
   x = 42,029,920,144/94,322
6. Step 6: Final answer
   x = 445,600.39