Finding the Third Proportional to 83,352 and 181,956

Step by Step Solution

1. Step 1: Write the proportion equation
   83,352 : 181,956 = 181,956 : x
2. Step 2: Convert to fraction form
   83,352/181,956 = 181,956/x
3. Step 3: Cross multiply
   83,352x = 181,956 × 181,956
4. Step 4: Simplify right side
   83,352x = 33,107,985,936
5. Step 5: Solve for x
   x = 33,107,985,936/83,352
6. Step 6: Final answer
   x = 397,206.86