Finding the Third Proportional to 69,308 and 146,884

Step by Step Solution

1. Step 1: Write the proportion equation
   69,308 : 146,884 = 146,884 : x
2. Step 2: Convert to fraction form
   69,308/146,884 = 146,884/x
3. Step 3: Cross multiply
   69,308x = 146,884 × 146,884
4. Step 4: Simplify right side
   69,308x = 21,574,909,456
5. Step 5: Solve for x
   x = 21,574,909,456/69,308
6. Step 6: Final answer
   x = 311,290.32