Finding the Third Proportional to 137,280 and 208,584

Step by Step Solution

1. Step 1: Write the proportion equation
   137,280 : 208,584 = 208,584 : x
2. Step 2: Convert to fraction form
   137,280/208,584 = 208,584/x
3. Step 3: Cross multiply
   137,280x = 208,584 × 208,584
4. Step 4: Simplify right side
   137,280x = 43,507,285,056
5. Step 5: Solve for x
   x = 43,507,285,056/137,280
6. Step 6: Final answer
   x = 316,923.70