Finding the Third Proportional to 77,786 and 151,684

Step by Step Solution

1. Step 1: Write the proportion equation
   77,786 : 151,684 = 151,684 : x
2. Step 2: Convert to fraction form
   77,786/151,684 = 151,684/x
3. Step 3: Cross multiply
   77,786x = 151,684 × 151,684
4. Step 4: Simplify right side
   77,786x = 23,008,035,856
5. Step 5: Solve for x
   x = 23,008,035,856/77,786
6. Step 6: Final answer
   x = 295,786.34