Finding the Third Proportional to 72,438 and 152,742

Step by Step Solution

1. Step 1: Write the proportion equation
   72,438 : 152,742 = 152,742 : x
2. Step 2: Convert to fraction form
   72,438/152,742 = 152,742/x
3. Step 3: Cross multiply
   72,438x = 152,742 × 152,742
4. Step 4: Simplify right side
   72,438x = 23,330,118,564
5. Step 5: Solve for x
   x = 23,330,118,564/72,438
6. Step 6: Final answer
   x = 322,070.16