Finding the Third Proportional to 100,043 and 152,605

Step by Step Solution

1. Step 1: Write the proportion equation
   100,043 : 152,605 = 152,605 : x
2. Step 2: Convert to fraction form
   100,043/152,605 = 152,605/x
3. Step 3: Cross multiply
   100,043x = 152,605 × 152,605
4. Step 4: Simplify right side
   100,043x = 23,288,286,025
5. Step 5: Solve for x
   x = 23,288,286,025/100,043
6. Step 6: Final answer
   x = 232,782.76