Finding the Third Proportional to 65,126 and 137,866

Step by Step Solution

1. Step 1: Write the proportion equation
   65,126 : 137,866 = 137,866 : x
2. Step 2: Convert to fraction form
   65,126/137,866 = 137,866/x
3. Step 3: Cross multiply
   65,126x = 137,866 × 137,866
4. Step 4: Simplify right side
   65,126x = 19,007,033,956
5. Step 5: Solve for x
   x = 19,007,033,956/65,126
6. Step 6: Final answer
   x = 291,850.17