Finding the Third Proportional to 94,980 and 205,184

Step by Step Solution

1. Step 1: Write the proportion equation
   94,980 : 205,184 = 205,184 : x
2. Step 2: Convert to fraction form
   94,980/205,184 = 205,184/x
3. Step 3: Cross multiply
   94,980x = 205,184 × 205,184
4. Step 4: Simplify right side
   94,980x = 42,100,473,856
5. Step 5: Solve for x
   x = 42,100,473,856/94,980
6. Step 6: Final answer
   x = 443,256.20