Finding the Third Proportional to 91,172 and 196,924

Step by Step Solution

1. Step 1: Write the proportion equation
   91,172 : 196,924 = 196,924 : x
2. Step 2: Convert to fraction form
   91,172/196,924 = 196,924/x
3. Step 3: Cross multiply
   91,172x = 196,924 × 196,924
4. Step 4: Simplify right side
   91,172x = 38,779,061,776
5. Step 5: Solve for x
   x = 38,779,061,776/91,172
6. Step 6: Final answer
   x = 425,339.60