Finding the Third Proportional to 72,448 and 102,592

Step by Step Solution

1. Step 1: Write the proportion equation
   72,448 : 102,592 = 102,592 : x
2. Step 2: Convert to fraction form
   72,448/102,592 = 102,592/x
3. Step 3: Cross multiply
   72,448x = 102,592 × 102,592
4. Step 4: Simplify right side
   72,448x = 10,525,118,464
5. Step 5: Solve for x
   x = 10,525,118,464/72,448
6. Step 6: Final answer
   x = 145,278.25