Finding the Third Proportional to 101,038 and 158,506

Step by Step Solution

1. Step 1: Write the proportion equation
   101,038 : 158,506 = 158,506 : x
2. Step 2: Convert to fraction form
   101,038/158,506 = 158,506/x
3. Step 3: Cross multiply
   101,038x = 158,506 × 158,506
4. Step 4: Simplify right side
   101,038x = 25,124,152,036
5. Step 5: Solve for x
   x = 25,124,152,036/101,038
6. Step 6: Final answer
   x = 248,660.43