Finding the Third Proportional to 94,196 and 205,888

Step by Step Solution

1. Step 1: Write the proportion equation
   94,196 : 205,888 = 205,888 : x
2. Step 2: Convert to fraction form
   94,196/205,888 = 205,888/x
3. Step 3: Cross multiply
   94,196x = 205,888 × 205,888
4. Step 4: Simplify right side
   94,196x = 42,389,868,544
5. Step 5: Solve for x
   x = 42,389,868,544/94,196
6. Step 6: Final answer
   x = 450,017.71