Finding the Third Proportional to 94,956 and 205,140

Step by Step Solution

1. Step 1: Write the proportion equation
   94,956 : 205,140 = 205,140 : x
2. Step 2: Convert to fraction form
   94,956/205,140 = 205,140/x
3. Step 3: Cross multiply
   94,956x = 205,140 × 205,140
4. Step 4: Simplify right side
   94,956x = 42,082,419,600
5. Step 5: Solve for x
   x = 42,082,419,600/94,956
6. Step 6: Final answer
   x = 443,178.10