Finding the Third Proportional to 83,100 and 177,858

Step by Step Solution

1. Step 1: Write the proportion equation
   83,100 : 177,858 = 177,858 : x
2. Step 2: Convert to fraction form
   83,100/177,858 = 177,858/x
3. Step 3: Cross multiply
   83,100x = 177,858 × 177,858
4. Step 4: Simplify right side
   83,100x = 31,633,468,164
5. Step 5: Solve for x
   x = 31,633,468,164/83,100
6. Step 6: Final answer
   x = 380,667.49