Finding the Third Proportional to 91,978 and 197,254

Step by Step Solution

1. Step 1: Write the proportion equation
   91,978 : 197,254 = 197,254 : x
2. Step 2: Convert to fraction form
   91,978/197,254 = 197,254/x
3. Step 3: Cross multiply
   91,978x = 197,254 × 197,254
4. Step 4: Simplify right side
   91,978x = 38,909,140,516
5. Step 5: Solve for x
   x = 38,909,140,516/91,978
6. Step 6: Final answer
   x = 423,026.60