Finding the Third Proportional to 127,122 and 186,789

Step by Step Solution

1. Step 1: Write the proportion equation
   127,122 : 186,789 = 186,789 : x
2. Step 2: Convert to fraction form
   127,122/186,789 = 186,789/x
3. Step 3: Cross multiply
   127,122x = 186,789 × 186,789
4. Step 4: Simplify right side
   127,122x = 34,890,130,521
5. Step 5: Solve for x
   x = 34,890,130,521/127,122
6. Step 6: Final answer
   x = 274,461.78