Finding the Third Proportional to 111,773 and 217,943

Step by Step Solution

1. Step 1: Write the proportion equation
   111,773 : 217,943 = 217,943 : x
2. Step 2: Convert to fraction form
   111,773/217,943 = 217,943/x
3. Step 3: Cross multiply
   111,773x = 217,943 × 217,943
4. Step 4: Simplify right side
   111,773x = 47,499,151,249
5. Step 5: Solve for x
   x = 47,499,151,249/111,773
6. Step 6: Final answer
   x = 424,960.87