Finding the Third Proportional to 72,396 and 112,509

Step by Step Solution

1. Step 1: Write the proportion equation
   72,396 : 112,509 = 112,509 : x
2. Step 2: Convert to fraction form
   72,396/112,509 = 112,509/x
3. Step 3: Cross multiply
   72,396x = 112,509 × 112,509
4. Step 4: Simplify right side
   72,396x = 12,658,275,081
5. Step 5: Solve for x
   x = 12,658,275,081/72,396
6. Step 6: Final answer
   x = 174,847.71