Finding the Third Proportional to 63,085 and 137,978

Step by Step Solution

1. Step 1: Write the proportion equation
   63,085 : 137,978 = 137,978 : x
2. Step 2: Convert to fraction form
   63,085/137,978 = 137,978/x
3. Step 3: Cross multiply
   63,085x = 137,978 × 137,978
4. Step 4: Simplify right side
   63,085x = 19,037,928,484
5. Step 5: Solve for x
   x = 19,037,928,484/63,085
6. Step 6: Final answer
   x = 301,782.17