Finding the Third Proportional to 127,584 and 279,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,584 : 279,355.50 = 279,355.50 : x
2. Step 2: Convert to fraction form
   127,584/279,355.50 = 279,355.50/x
3. Step 3: Cross multiply
   127,584x = 279,355.50 × 279,355.50
4. Step 4: Simplify right side
   127,584x = 78,039,495,380.25
5. Step 5: Solve for x
   x = 78,039,495,380.25/127,584
6. Step 6: Final answer
   x = 611,671.49