Finding the Third Proportional to 137,616 and 301,584

Step by Step Solution

1. Step 1: Write the proportion equation
   137,616 : 301,584 = 301,584 : x
2. Step 2: Convert to fraction form
   137,616/301,584 = 301,584/x
3. Step 3: Cross multiply
   137,616x = 301,584 × 301,584
4. Step 4: Simplify right side
   137,616x = 90,952,909,056
5. Step 5: Solve for x
   x = 90,952,909,056/137,616
6. Step 6: Final answer
   x = 660,918.13