Finding the Third Proportional to 137,983.50 and 256,284

Step by Step Solution

1. Step 1: Write the proportion equation
   137,983.50 : 256,284 = 256,284 : x
2. Step 2: Convert to fraction form
   137,983.50/256,284 = 256,284/x
3. Step 3: Cross multiply
   137,983.50x = 256,284 × 256,284
4. Step 4: Simplify right side
   137,983.50x = 65,681,488,656
5. Step 5: Solve for x
   x = 65,681,488,656/137,983.50
6. Step 6: Final answer
   x = 476,009.73