Finding the Third Proportional to 94,356 and 137,643

Step by Step Solution

1. Step 1: Write the proportion equation
   94,356 : 137,643 = 137,643 : x
2. Step 2: Convert to fraction form
   94,356/137,643 = 137,643/x
3. Step 3: Cross multiply
   94,356x = 137,643 × 137,643
4. Step 4: Simplify right side
   94,356x = 18,945,595,449
5. Step 5: Solve for x
   x = 18,945,595,449/94,356
6. Step 6: Final answer
   x = 200,788.45