Finding the Third Proportional to 101,376 and 216,960

Step by Step Solution

1. Step 1: Write the proportion equation
   101,376 : 216,960 = 216,960 : x
2. Step 2: Convert to fraction form
   101,376/216,960 = 216,960/x
3. Step 3: Cross multiply
   101,376x = 216,960 × 216,960
4. Step 4: Simplify right side
   101,376x = 47,071,641,600
5. Step 5: Solve for x
   x = 47,071,641,600/101,376
6. Step 6: Final answer
   x = 464,327.27