Finding the Third Proportional to 83,070 and 181,692

Step by Step Solution

1. Step 1: Write the proportion equation
   83,070 : 181,692 = 181,692 : x
2. Step 2: Convert to fraction form
   83,070/181,692 = 181,692/x
3. Step 3: Cross multiply
   83,070x = 181,692 × 181,692
4. Step 4: Simplify right side
   83,070x = 33,011,982,864
5. Step 5: Solve for x
   x = 33,011,982,864/83,070
6. Step 6: Final answer
   x = 397,399.58