Finding the Third Proportional to 97,788.38 and 204,643.69

Step by Step Solution

1. Step 1: Write the proportion equation
   97,788.38 : 204,643.69 = 204,643.69 : x
2. Step 2: Convert to fraction form
   97,788.38/204,643.69 = 204,643.69/x
3. Step 3: Cross multiply
   97,788.38x = 204,643.69 × 204,643.69
4. Step 4: Simplify right side
   97,788.38x = 41,879,038,833.60
5. Step 5: Solve for x
   x = 41,879,038,833.60/97,788.38
6. Step 6: Final answer
   x = 428,261.94