Finding the Third Proportional to 72,786 and 116,709

Step by Step Solution

1. Step 1: Write the proportion equation
   72,786 : 116,709 = 116,709 : x
2. Step 2: Convert to fraction form
   72,786/116,709 = 116,709/x
3. Step 3: Cross multiply
   72,786x = 116,709 × 116,709
4. Step 4: Simplify right side
   72,786x = 13,620,990,681
5. Step 5: Solve for x
   x = 13,620,990,681/72,786
6. Step 6: Final answer
   x = 187,137.51