Finding the Third Proportional to 72,205 and 158,359

Step by Step Solution

1. Step 1: Write the proportion equation
   72,205 : 158,359 = 158,359 : x
2. Step 2: Convert to fraction form
   72,205/158,359 = 158,359/x
3. Step 3: Cross multiply
   72,205x = 158,359 × 158,359
4. Step 4: Simplify right side
   72,205x = 25,077,572,881
5. Step 5: Solve for x
   x = 25,077,572,881/72,205
6. Step 6: Final answer
   x = 347,310.75