Finding the Third Proportional to 74,116.50 and 164,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,116.50 : 164,809.50 = 164,809.50 : x
2. Step 2: Convert to fraction form
   74,116.50/164,809.50 = 164,809.50/x
3. Step 3: Cross multiply
   74,116.50x = 164,809.50 × 164,809.50
4. Step 4: Simplify right side
   74,116.50x = 27,162,171,290.25
5. Step 5: Solve for x
   x = 27,162,171,290.25/74,116.50
6. Step 6: Final answer
   x = 366,479.41