Finding the Third Proportional to 72,526 and 158,336

Step by Step Solution

1. Step 1: Write the proportion equation
   72,526 : 158,336 = 158,336 : x
2. Step 2: Convert to fraction form
   72,526/158,336 = 158,336/x
3. Step 3: Cross multiply
   72,526x = 158,336 × 158,336
4. Step 4: Simplify right side
   72,526x = 25,070,288,896
5. Step 5: Solve for x
   x = 25,070,288,896/72,526
6. Step 6: Final answer
   x = 345,673.12