Finding the Third Proportional to 127,128 and 172,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,128 : 172,653.50 = 172,653.50 : x
2. Step 2: Convert to fraction form
   127,128/172,653.50 = 172,653.50/x
3. Step 3: Cross multiply
   127,128x = 172,653.50 × 172,653.50
4. Step 4: Simplify right side
   127,128x = 29,809,231,062.25
5. Step 5: Solve for x
   x = 29,809,231,062.25/127,128
6. Step 6: Final answer
   x = 234,482.03