Finding the Third Proportional to 83,567 and 178,798

Step by Step Solution

1. Step 1: Write the proportion equation
   83,567 : 178,798 = 178,798 : x
2. Step 2: Convert to fraction form
   83,567/178,798 = 178,798/x
3. Step 3: Cross multiply
   83,567x = 178,798 × 178,798
4. Step 4: Simplify right side
   83,567x = 31,968,724,804
5. Step 5: Solve for x
   x = 31,968,724,804/83,567
6. Step 6: Final answer
   x = 382,552.02