Finding the Third Proportional to 91,278 and 196,038

Step by Step Solution

1. Step 1: Write the proportion equation
   91,278 : 196,038 = 196,038 : x
2. Step 2: Convert to fraction form
   91,278/196,038 = 196,038/x
3. Step 3: Cross multiply
   91,278x = 196,038 × 196,038
4. Step 4: Simplify right side
   91,278x = 38,430,897,444
5. Step 5: Solve for x
   x = 38,430,897,444/91,278
6. Step 6: Final answer
   x = 421,031.33