Finding the Third Proportional to 101,864 and 152,988

Step by Step Solution

1. Step 1: Write the proportion equation
   101,864 : 152,988 = 152,988 : x
2. Step 2: Convert to fraction form
   101,864/152,988 = 152,988/x
3. Step 3: Cross multiply
   101,864x = 152,988 × 152,988
4. Step 4: Simplify right side
   101,864x = 23,405,328,144
5. Step 5: Solve for x
   x = 23,405,328,144/101,864
6. Step 6: Final answer
   x = 229,770.36