Finding the Third Proportional to 137,654 and 208,386

Step by Step Solution

1. Step 1: Write the proportion equation
   137,654 : 208,386 = 208,386 : x
2. Step 2: Convert to fraction form
   137,654/208,386 = 208,386/x
3. Step 3: Cross multiply
   137,654x = 208,386 × 208,386
4. Step 4: Simplify right side
   137,654x = 43,424,724,996
5. Step 5: Solve for x
   x = 43,424,724,996/137,654
6. Step 6: Final answer
   x = 315,462.86