Finding the Third Proportional to 127,316 and 279,784

Step by Step Solution

1. Step 1: Write the proportion equation
   127,316 : 279,784 = 279,784 : x
2. Step 2: Convert to fraction form
   127,316/279,784 = 279,784/x
3. Step 3: Cross multiply
   127,316x = 279,784 × 279,784
4. Step 4: Simplify right side
   127,316x = 78,279,086,656
5. Step 5: Solve for x
   x = 78,279,086,656/127,316
6. Step 6: Final answer
   x = 614,840.92