Finding the Third Proportional to 35,329 and 77,298

Step by Step Solution

1. Step 1: Write the proportion equation
   35,329 : 77,298 = 77,298 : x
2. Step 2: Convert to fraction form
   35,329/77,298 = 77,298/x
3. Step 3: Cross multiply
   35,329x = 77,298 × 77,298
4. Step 4: Simplify right side
   35,329x = 5,974,980,804
5. Step 5: Solve for x
   x = 5,974,980,804/35,329
6. Step 6: Final answer
   x = 169,123.97