Finding the Third Proportional to 98,694 and 217,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,694 : 217,066.50 = 217,066.50 : x
2. Step 2: Convert to fraction form
   98,694/217,066.50 = 217,066.50/x
3. Step 3: Cross multiply
   98,694x = 217,066.50 × 217,066.50
4. Step 4: Simplify right side
   98,694x = 47,117,865,422.25
5. Step 5: Solve for x
   x = 47,117,865,422.25/98,694
6. Step 6: Final answer
   x = 477,413.68