Finding the Third Proportional to 96,981 and 150,516

Step by Step Solution

1. Step 1: Write the proportion equation
   96,981 : 150,516 = 150,516 : x
2. Step 2: Convert to fraction form
   96,981/150,516 = 150,516/x
3. Step 3: Cross multiply
   96,981x = 150,516 × 150,516
4. Step 4: Simplify right side
   96,981x = 22,655,066,256
5. Step 5: Solve for x
   x = 22,655,066,256/96,981
6. Step 6: Final answer
   x = 233,603.14