Finding the Third Proportional to 91,968 and 140,624

Step by Step Solution

1. Step 1: Write the proportion equation
   91,968 : 140,624 = 140,624 : x
2. Step 2: Convert to fraction form
   91,968/140,624 = 140,624/x
3. Step 3: Cross multiply
   91,968x = 140,624 × 140,624
4. Step 4: Simplify right side
   91,968x = 19,775,109,376
5. Step 5: Solve for x
   x = 19,775,109,376/91,968
6. Step 6: Final answer
   x = 215,021.63