Finding the Third Proportional to 76,109.50 and 164,414.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,109.50 : 164,414.25 = 164,414.25 : x
2. Step 2: Convert to fraction form
   76,109.50/164,414.25 = 164,414.25/x
3. Step 3: Cross multiply
   76,109.50x = 164,414.25 × 164,414.25
4. Step 4: Simplify right side
   76,109.50x = 27,032,045,603.06
5. Step 5: Solve for x
   x = 27,032,045,603.06/76,109.50
6. Step 6: Final answer
   x = 355,173.08