Finding the Third Proportional to 137,056 and 205,584

Step by Step Solution

1. Step 1: Write the proportion equation
   137,056 : 205,584 = 205,584 : x
2. Step 2: Convert to fraction form
   137,056/205,584 = 205,584/x
3. Step 3: Cross multiply
   137,056x = 205,584 × 205,584
4. Step 4: Simplify right side
   137,056x = 42,264,781,056
5. Step 5: Solve for x
   x = 42,264,781,056/137,056
6. Step 6: Final answer
   x = 308,376