Finding the Third Proportional to 100,164 and 152,772

Step by Step Solution

1. Step 1: Write the proportion equation
   100,164 : 152,772 = 152,772 : x
2. Step 2: Convert to fraction form
   100,164/152,772 = 152,772/x
3. Step 3: Cross multiply
   100,164x = 152,772 × 152,772
4. Step 4: Simplify right side
   100,164x = 23,339,283,984
5. Step 5: Solve for x
   x = 23,339,283,984/100,164
6. Step 6: Final answer
   x = 233,010.70