Finding the Third Proportional to 72,884 and 151,984

Step by Step Solution

1. Step 1: Write the proportion equation
   72,884 : 151,984 = 151,984 : x
2. Step 2: Convert to fraction form
   72,884/151,984 = 151,984/x
3. Step 3: Cross multiply
   72,884x = 151,984 × 151,984
4. Step 4: Simplify right side
   72,884x = 23,099,136,256
5. Step 5: Solve for x
   x = 23,099,136,256/72,884
6. Step 6: Final answer
   x = 316,930.14