Finding the Third Proportional to 76,691.25 and 164,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,691.25 : 164,043.50 = 164,043.50 : x
2. Step 2: Convert to fraction form
   76,691.25/164,043.50 = 164,043.50/x
3. Step 3: Cross multiply
   76,691.25x = 164,043.50 × 164,043.50
4. Step 4: Simplify right side
   76,691.25x = 26,910,269,892.25
5. Step 5: Solve for x
   x = 26,910,269,892.25/76,691.25
6. Step 6: Final answer
   x = 350,891.01