Finding the Third Proportional to 91,946 and 140,592

Step by Step Solution

1. Step 1: Write the proportion equation
   91,946 : 140,592 = 140,592 : x
2. Step 2: Convert to fraction form
   91,946/140,592 = 140,592/x
3. Step 3: Cross multiply
   91,946x = 140,592 × 140,592
4. Step 4: Simplify right side
   91,946x = 19,766,110,464
5. Step 5: Solve for x
   x = 19,766,110,464/91,946
6. Step 6: Final answer
   x = 214,975.21