Finding the Third Proportional to 83,567.25 and 178,796.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,567.25 : 178,796.25 = 178,796.25 : x
2. Step 2: Convert to fraction form
   83,567.25/178,796.25 = 178,796.25/x
3. Step 3: Cross multiply
   83,567.25x = 178,796.25 × 178,796.25
4. Step 4: Simplify right side
   83,567.25x = 31,968,099,014.06
5. Step 5: Solve for x
   x = 31,968,099,014.06/83,567.25
6. Step 6: Final answer
   x = 382,543.39