Finding the Third Proportional to 70,694 and 146,308

Step by Step Solution

1. Step 1: Write the proportion equation
   70,694 : 146,308 = 146,308 : x
2. Step 2: Convert to fraction form
   70,694/146,308 = 146,308/x
3. Step 3: Cross multiply
   70,694x = 146,308 × 146,308
4. Step 4: Simplify right side
   70,694x = 21,406,030,864
5. Step 5: Solve for x
   x = 21,406,030,864/70,694
6. Step 6: Final answer
   x = 302,798.41