Finding the Third Proportional to 127,364 and 186,280

Step by Step Solution

1. Step 1: Write the proportion equation
   127,364 : 186,280 = 186,280 : x
2. Step 2: Convert to fraction form
   127,364/186,280 = 186,280/x
3. Step 3: Cross multiply
   127,364x = 186,280 × 186,280
4. Step 4: Simplify right side
   127,364x = 34,700,238,400
5. Step 5: Solve for x
   x = 34,700,238,400/127,364
6. Step 6: Final answer
   x = 272,449.35