Finding the Third Proportional to 72,480 and 102,636

Step by Step Solution

1. Step 1: Write the proportion equation
   72,480 : 102,636 = 102,636 : x
2. Step 2: Convert to fraction form
   72,480/102,636 = 102,636/x
3. Step 3: Cross multiply
   72,480x = 102,636 × 102,636
4. Step 4: Simplify right side
   72,480x = 10,534,148,496
5. Step 5: Solve for x
   x = 10,534,148,496/72,480
6. Step 6: Final answer
   x = 145,338.69