Finding the Third Proportional to 137,734 and 291,996

Step by Step Solution

1. Step 1: Write the proportion equation
   137,734 : 291,996 = 291,996 : x
2. Step 2: Convert to fraction form
   137,734/291,996 = 291,996/x
3. Step 3: Cross multiply
   137,734x = 291,996 × 291,996
4. Step 4: Simplify right side
   137,734x = 85,261,664,016
5. Step 5: Solve for x
   x = 85,261,664,016/137,734
6. Step 6: Final answer
   x = 619,031.35