Finding the Third Proportional to 83,145 and 158,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,145 : 158,635.50 = 158,635.50 : x
2. Step 2: Convert to fraction form
   83,145/158,635.50 = 158,635.50/x
3. Step 3: Cross multiply
   83,145x = 158,635.50 × 158,635.50
4. Step 4: Simplify right side
   83,145x = 25,165,221,860.25
5. Step 5: Solve for x
   x = 25,165,221,860.25/83,145
6. Step 6: Final answer
   x = 302,666.69