Finding the Third Proportional to 72,861 and 115,856

Step by Step Solution

1. Step 1: Write the proportion equation
   72,861 : 115,856 = 115,856 : x
2. Step 2: Convert to fraction form
   72,861/115,856 = 115,856/x
3. Step 3: Cross multiply
   72,861x = 115,856 × 115,856
4. Step 4: Simplify right side
   72,861x = 13,422,612,736
5. Step 5: Solve for x
   x = 13,422,612,736/72,861
6. Step 6: Final answer
   x = 184,222.19