Finding the Third Proportional to 101,005 and 153,605

Step by Step Solution

1. Step 1: Write the proportion equation
   101,005 : 153,605 = 153,605 : x
2. Step 2: Convert to fraction form
   101,005/153,605 = 153,605/x
3. Step 3: Cross multiply
   101,005x = 153,605 × 153,605
4. Step 4: Simplify right side
   101,005x = 23,594,496,025
5. Step 5: Solve for x
   x = 23,594,496,025/101,005
6. Step 6: Final answer
   x = 233,597.31