Finding the Third Proportional to 82,984 and 178,832

Step by Step Solution

1. Step 1: Write the proportion equation
   82,984 : 178,832 = 178,832 : x
2. Step 2: Convert to fraction form
   82,984/178,832 = 178,832/x
3. Step 3: Cross multiply
   82,984x = 178,832 × 178,832
4. Step 4: Simplify right side
   82,984x = 31,980,884,224
5. Step 5: Solve for x
   x = 31,980,884,224/82,984
6. Step 6: Final answer
   x = 385,386.15