Finding the Third Proportional to 76,696.50 and 164,322

Step by Step Solution

1. Step 1: Write the proportion equation
   76,696.50 : 164,322 = 164,322 : x
2. Step 2: Convert to fraction form
   76,696.50/164,322 = 164,322/x
3. Step 3: Cross multiply
   76,696.50x = 164,322 × 164,322
4. Step 4: Simplify right side
   76,696.50x = 27,001,719,684
5. Step 5: Solve for x
   x = 27,001,719,684/76,696.50
6. Step 6: Final answer
   x = 352,059.35