Finding the Third Proportional to 76,693.50 and 164,315.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,693.50 : 164,315.25 = 164,315.25 : x
2. Step 2: Convert to fraction form
   76,693.50/164,315.25 = 164,315.25/x
3. Step 3: Cross multiply
   76,693.50x = 164,315.25 × 164,315.25
4. Step 4: Simplify right side
   76,693.50x = 26,999,501,382.56
5. Step 5: Solve for x
   x = 26,999,501,382.56/76,693.50
6. Step 6: Final answer
   x = 352,044.19