Finding the Third Proportional to 37,629 and 82,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,629 : 82,254.50 = 82,254.50 : x
2. Step 2: Convert to fraction form
   37,629/82,254.50 = 82,254.50/x
3. Step 3: Cross multiply
   37,629x = 82,254.50 × 82,254.50
4. Step 4: Simplify right side
   37,629x = 6,765,802,770.25
5. Step 5: Solve for x
   x = 6,765,802,770.25/37,629
6. Step 6: Final answer
   x = 179,802.89