Finding the Third Proportional to 94,698 and 209,078

Step by Step Solution

1. Step 1: Write the proportion equation
   94,698 : 209,078 = 209,078 : x
2. Step 2: Convert to fraction form
   94,698/209,078 = 209,078/x
3. Step 3: Cross multiply
   94,698x = 209,078 × 209,078
4. Step 4: Simplify right side
   94,698x = 43,713,610,084
5. Step 5: Solve for x
   x = 43,713,610,084/94,698
6. Step 6: Final answer
   x = 461,610.70