Finding the Third Proportional to 70,526 and 146,884

Step by Step Solution

1. Step 1: Write the proportion equation
   70,526 : 146,884 = 146,884 : x
2. Step 2: Convert to fraction form
   70,526/146,884 = 146,884/x
3. Step 3: Cross multiply
   70,526x = 146,884 × 146,884
4. Step 4: Simplify right side
   70,526x = 21,574,909,456
5. Step 5: Solve for x
   x = 21,574,909,456/70,526
6. Step 6: Final answer
   x = 305,914.27