Finding the Third Proportional to 127,141.50 and 172,478.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,141.50 : 172,478.25 = 172,478.25 : x
2. Step 2: Convert to fraction form
   127,141.50/172,478.25 = 172,478.25/x
3. Step 3: Cross multiply
   127,141.50x = 172,478.25 × 172,478.25
4. Step 4: Simplify right side
   127,141.50x = 29,748,746,723.06
5. Step 5: Solve for x
   x = 29,748,746,723.06/127,141.50
6. Step 6: Final answer
   x = 233,981.40