Finding the Third Proportional to 116,786 and 178,095

Step by Step Solution

1. Step 1: Write the proportion equation
   116,786 : 178,095 = 178,095 : x
2. Step 2: Convert to fraction form
   116,786/178,095 = 178,095/x
3. Step 3: Cross multiply
   116,786x = 178,095 × 178,095
4. Step 4: Simplify right side
   116,786x = 31,717,829,025
5. Step 5: Solve for x
   x = 31,717,829,025/116,786
6. Step 6: Final answer
   x = 271,589.31