Finding the Third Proportional to 137,631 and 291,801

Step by Step Solution

1. Step 1: Write the proportion equation
   137,631 : 291,801 = 291,801 : x
2. Step 2: Convert to fraction form
   137,631/291,801 = 291,801/x
3. Step 3: Cross multiply
   137,631x = 291,801 × 291,801
4. Step 4: Simplify right side
   137,631x = 85,147,823,601
5. Step 5: Solve for x
   x = 85,147,823,601/137,631
6. Step 6: Final answer
   x = 618,667.48