Finding the Third Proportional to 69,346 and 146,956

Step by Step Solution

1. Step 1: Write the proportion equation
   69,346 : 146,956 = 146,956 : x
2. Step 2: Convert to fraction form
   69,346/146,956 = 146,956/x
3. Step 3: Cross multiply
   69,346x = 146,956 × 146,956
4. Step 4: Simplify right side
   69,346x = 21,596,065,936
5. Step 5: Solve for x
   x = 21,596,065,936/69,346
6. Step 6: Final answer
   x = 311,424.83