Finding the Third Proportional to 83,573 and 178,812

Step by Step Solution

1. Step 1: Write the proportion equation
   83,573 : 178,812 = 178,812 : x
2. Step 2: Convert to fraction form
   83,573/178,812 = 178,812/x
3. Step 3: Cross multiply
   83,573x = 178,812 × 178,812
4. Step 4: Simplify right side
   83,573x = 31,973,731,344
5. Step 5: Solve for x
   x = 31,973,731,344/83,573
6. Step 6: Final answer
   x = 382,584.46