Finding the Third Proportional to 69,536 and 150,158

Step by Step Solution

1. Step 1: Write the proportion equation
   69,536 : 150,158 = 150,158 : x
2. Step 2: Convert to fraction form
   69,536/150,158 = 150,158/x
3. Step 3: Cross multiply
   69,536x = 150,158 × 150,158
4. Step 4: Simplify right side
   69,536x = 22,547,424,964
5. Step 5: Solve for x
   x = 22,547,424,964/69,536
6. Step 6: Final answer
   x = 324,255.42