Finding the Third Proportional to 101,640 and 150,984

Step by Step Solution

1. Step 1: Write the proportion equation
   101,640 : 150,984 = 150,984 : x
2. Step 2: Convert to fraction form
   101,640/150,984 = 150,984/x
3. Step 3: Cross multiply
   101,640x = 150,984 × 150,984
4. Step 4: Simplify right side
   101,640x = 22,796,168,256
5. Step 5: Solve for x
   x = 22,796,168,256/101,640
6. Step 6: Final answer
   x = 224,283.43