Finding the Third Proportional to 76,554 and 164,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,554 : 164,182.50 = 164,182.50 : x
2. Step 2: Convert to fraction form
   76,554/164,182.50 = 164,182.50/x
3. Step 3: Cross multiply
   76,554x = 164,182.50 × 164,182.50
4. Step 4: Simplify right side
   76,554x = 26,955,893,306.25
5. Step 5: Solve for x
   x = 26,955,893,306.25/76,554
6. Step 6: Final answer
   x = 352,116.07