Finding the Third Proportional to 65,376 and 143,424

Step by Step Solution

1. Step 1: Write the proportion equation
   65,376 : 143,424 = 143,424 : x
2. Step 2: Convert to fraction form
   65,376/143,424 = 143,424/x
3. Step 3: Cross multiply
   65,376x = 143,424 × 143,424
4. Step 4: Simplify right side
   65,376x = 20,570,443,776
5. Step 5: Solve for x
   x = 20,570,443,776/65,376
6. Step 6: Final answer
   x = 314,648.25