Finding the Third Proportional to 89,758.13 and 204,985.69

Step by Step Solution

1. Step 1: Write the proportion equation
   89,758.13 : 204,985.69 = 204,985.69 : x
2. Step 2: Convert to fraction form
   89,758.13/204,985.69 = 204,985.69/x
3. Step 3: Cross multiply
   89,758.13x = 204,985.69 × 204,985.69
4. Step 4: Simplify right side
   89,758.13x = 42,019,132,079.85
5. Step 5: Solve for x
   x = 42,019,132,079.85/89,758.13
6. Step 6: Final answer
   x = 468,137.36