Finding the Third Proportional to 101,454 and 216,978

Step by Step Solution

1. Step 1: Write the proportion equation
   101,454 : 216,978 = 216,978 : x
2. Step 2: Convert to fraction form
   101,454/216,978 = 216,978/x
3. Step 3: Cross multiply
   101,454x = 216,978 × 216,978
4. Step 4: Simplify right side
   101,454x = 47,079,452,484
5. Step 5: Solve for x
   x = 47,079,452,484/101,454
6. Step 6: Final answer
   x = 464,047.28