Finding the Third Proportional to 83,505 and 175,215.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,505 : 175,215.75 = 175,215.75 : x
2. Step 2: Convert to fraction form
   83,505/175,215.75 = 175,215.75/x
3. Step 3: Cross multiply
   83,505x = 175,215.75 × 175,215.75
4. Step 4: Simplify right side
   83,505x = 30,700,559,048.06
5. Step 5: Solve for x
   x = 30,700,559,048.06/83,505
6. Step 6: Final answer
   x = 367,649.35