Finding the Third Proportional to 89,694 and 206,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,694 : 206,734.50 = 206,734.50 : x
2. Step 2: Convert to fraction form
   89,694/206,734.50 = 206,734.50/x
3. Step 3: Cross multiply
   89,694x = 206,734.50 × 206,734.50
4. Step 4: Simplify right side
   89,694x = 42,739,153,490.25
5. Step 5: Solve for x
   x = 42,739,153,490.25/89,694
6. Step 6: Final answer
   x = 476,499.58