Finding the Third Proportional to 83,080 and 178,832

Step by Step Solution

1. Step 1: Write the proportion equation
   83,080 : 178,832 = 178,832 : x
2. Step 2: Convert to fraction form
   83,080/178,832 = 178,832/x
3. Step 3: Cross multiply
   83,080x = 178,832 × 178,832
4. Step 4: Simplify right side
   83,080x = 31,980,884,224
5. Step 5: Solve for x
   x = 31,980,884,224/83,080
6. Step 6: Final answer
   x = 384,940.83