Finding the Third Proportional to 84,095 and 175,978

Step by Step Solution

1. Step 1: Write the proportion equation
   84,095 : 175,978 = 175,978 : x
2. Step 2: Convert to fraction form
   84,095/175,978 = 175,978/x
3. Step 3: Cross multiply
   84,095x = 175,978 × 175,978
4. Step 4: Simplify right side
   84,095x = 30,968,256,484
5. Step 5: Solve for x
   x = 30,968,256,484/84,095
6. Step 6: Final answer
   x = 368,253.24