Finding the Third Proportional to 102,884 and 158,360

Step by Step Solution

1. Step 1: Write the proportion equation
   102,884 : 158,360 = 158,360 : x
2. Step 2: Convert to fraction form
   102,884/158,360 = 158,360/x
3. Step 3: Cross multiply
   102,884x = 158,360 × 158,360
4. Step 4: Simplify right side
   102,884x = 25,077,889,600
5. Step 5: Solve for x
   x = 25,077,889,600/102,884
6. Step 6: Final answer
   x = 243,749.17