Finding the Third Proportional to 137,256 and 208,548

Step by Step Solution

1. Step 1: Write the proportion equation
   137,256 : 208,548 = 208,548 : x
2. Step 2: Convert to fraction form
   137,256/208,548 = 208,548/x
3. Step 3: Cross multiply
   137,256x = 208,548 × 208,548
4. Step 4: Simplify right side
   137,256x = 43,492,268,304
5. Step 5: Solve for x
   x = 43,492,268,304/137,256
6. Step 6: Final answer
   x = 316,869.71