Finding the Third Proportional to 72,645 and 158,154

Step by Step Solution

1. Step 1: Write the proportion equation
   72,645 : 158,154 = 158,154 : x
2. Step 2: Convert to fraction form
   72,645/158,154 = 158,154/x
3. Step 3: Cross multiply
   72,645x = 158,154 × 158,154
4. Step 4: Simplify right side
   72,645x = 25,012,687,716
5. Step 5: Solve for x
   x = 25,012,687,716/72,645
6. Step 6: Final answer
   x = 344,313.96