Finding the Third Proportional to 94,654 and 209,000

Step by Step Solution

1. Step 1: Write the proportion equation
   94,654 : 209,000 = 209,000 : x
2. Step 2: Convert to fraction form
   94,654/209,000 = 209,000/x
3. Step 3: Cross multiply
   94,654x = 209,000 × 209,000
4. Step 4: Simplify right side
   94,654x = 43,681,000,000
5. Step 5: Solve for x
   x = 43,681,000,000/94,654
6. Step 6: Final answer
   x = 461,480.76