Finding the Third Proportional to 65,128 and 137,870

Step by Step Solution

1. Step 1: Write the proportion equation
   65,128 : 137,870 = 137,870 : x
2. Step 2: Convert to fraction form
   65,128/137,870 = 137,870/x
3. Step 3: Cross multiply
   65,128x = 137,870 × 137,870
4. Step 4: Simplify right side
   65,128x = 19,008,136,900
5. Step 5: Solve for x
   x = 19,008,136,900/65,128
6. Step 6: Final answer
   x = 291,858.14