Finding the Third Proportional to 83,164 and 177,992

Step by Step Solution

1. Step 1: Write the proportion equation
   83,164 : 177,992 = 177,992 : x
2. Step 2: Convert to fraction form
   83,164/177,992 = 177,992/x
3. Step 3: Cross multiply
   83,164x = 177,992 × 177,992
4. Step 4: Simplify right side
   83,164x = 31,681,152,064
5. Step 5: Solve for x
   x = 31,681,152,064/83,164
6. Step 6: Final answer
   x = 380,947.91