Finding the Third Proportional to 100,040 and 152,601

Step by Step Solution

1. Step 1: Write the proportion equation
   100,040 : 152,601 = 152,601 : x
2. Step 2: Convert to fraction form
   100,040/152,601 = 152,601/x
3. Step 3: Cross multiply
   100,040x = 152,601 × 152,601
4. Step 4: Simplify right side
   100,040x = 23,287,065,201
5. Step 5: Solve for x
   x = 23,287,065,201/100,040
6. Step 6: Final answer
   x = 232,777.54