Finding the Third Proportional to 137,658 and 208,392

Step by Step Solution

1. Step 1: Write the proportion equation
   137,658 : 208,392 = 208,392 : x
2. Step 2: Convert to fraction form
   137,658/208,392 = 208,392/x
3. Step 3: Cross multiply
   137,658x = 208,392 × 208,392
4. Step 4: Simplify right side
   137,658x = 43,427,225,664
5. Step 5: Solve for x
   x = 43,427,225,664/137,658
6. Step 6: Final answer
   x = 315,471.86