Finding the Third Proportional to 127,152 and 186,167.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,152 : 186,167.25 = 186,167.25 : x
2. Step 2: Convert to fraction form
   127,152/186,167.25 = 186,167.25/x
3. Step 3: Cross multiply
   127,152x = 186,167.25 × 186,167.25
4. Step 4: Simplify right side
   127,152x = 34,658,244,972.56
5. Step 5: Solve for x
   x = 34,658,244,972.56/127,152
6. Step 6: Final answer
   x = 272,573.34