Finding the Third Proportional to 102,142.50 and 158,526

Step by Step Solution

1. Step 1: Write the proportion equation
   102,142.50 : 158,526 = 158,526 : x
2. Step 2: Convert to fraction form
   102,142.50/158,526 = 158,526/x
3. Step 3: Cross multiply
   102,142.50x = 158,526 × 158,526
4. Step 4: Simplify right side
   102,142.50x = 25,130,492,676
5. Step 5: Solve for x
   x = 25,130,492,676/102,142.50
6. Step 6: Final answer
   x = 246,033.66