Finding the Third Proportional to 83,951 and 181,434

Step by Step Solution

1. Step 1: Write the proportion equation
   83,951 : 181,434 = 181,434 : x
2. Step 2: Convert to fraction form
   83,951/181,434 = 181,434/x
3. Step 3: Cross multiply
   83,951x = 181,434 × 181,434
4. Step 4: Simplify right side
   83,951x = 32,918,296,356
5. Step 5: Solve for x
   x = 32,918,296,356/83,951
6. Step 6: Final answer
   x = 392,113.21