Finding the Third Proportional to 76,699.50 and 164,328

Step by Step Solution

1. Step 1: Write the proportion equation
   76,699.50 : 164,328 = 164,328 : x
2. Step 2: Convert to fraction form
   76,699.50/164,328 = 164,328/x
3. Step 3: Cross multiply
   76,699.50x = 164,328 × 164,328
4. Step 4: Simplify right side
   76,699.50x = 27,003,691,584
5. Step 5: Solve for x
   x = 27,003,691,584/76,699.50
6. Step 6: Final answer
   x = 352,071.29