Finding the Third Proportional to 83,094 and 177,846

Step by Step Solution

1. Step 1: Write the proportion equation
   83,094 : 177,846 = 177,846 : x
2. Step 2: Convert to fraction form
   83,094/177,846 = 177,846/x
3. Step 3: Cross multiply
   83,094x = 177,846 × 177,846
4. Step 4: Simplify right side
   83,094x = 31,629,199,716
5. Step 5: Solve for x
   x = 31,629,199,716/83,094
6. Step 6: Final answer
   x = 380,643.61