Finding the Third Proportional to 72,196 and 152,280

Step by Step Solution

1. Step 1: Write the proportion equation
   72,196 : 152,280 = 152,280 : x
2. Step 2: Convert to fraction form
   72,196/152,280 = 152,280/x
3. Step 3: Cross multiply
   72,196x = 152,280 × 152,280
4. Step 4: Simplify right side
   72,196x = 23,189,198,400
5. Step 5: Solve for x
   x = 23,189,198,400/72,196
6. Step 6: Final answer
   x = 321,197.83