Finding the Third Proportional to 91,004 and 137,778

Step by Step Solution

1. Step 1: Write the proportion equation
   91,004 : 137,778 = 137,778 : x
2. Step 2: Convert to fraction form
   91,004/137,778 = 137,778/x
3. Step 3: Cross multiply
   91,004x = 137,778 × 137,778
4. Step 4: Simplify right side
   91,004x = 18,982,777,284
5. Step 5: Solve for x
   x = 18,982,777,284/91,004
6. Step 6: Final answer
   x = 208,592.78