Finding the Third Proportional to 127,056 and 185,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,056 : 185,809.50 = 185,809.50 : x
2. Step 2: Convert to fraction form
   127,056/185,809.50 = 185,809.50/x
3. Step 3: Cross multiply
   127,056x = 185,809.50 × 185,809.50
4. Step 4: Simplify right side
   127,056x = 34,525,170,290.25
5. Step 5: Solve for x
   x = 34,525,170,290.25/127,056
6. Step 6: Final answer
   x = 271,731.92