Finding the Third Proportional to 91,946 and 140,560

Step by Step Solution

1. Step 1: Write the proportion equation
   91,946 : 140,560 = 140,560 : x
2. Step 2: Convert to fraction form
   91,946/140,560 = 140,560/x
3. Step 3: Cross multiply
   91,946x = 140,560 × 140,560
4. Step 4: Simplify right side
   91,946x = 19,757,113,600
5. Step 5: Solve for x
   x = 19,757,113,600/91,946
6. Step 6: Final answer
   x = 214,877.36