Finding the Third Proportional to 137,009 and 214,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,009 : 214,981.50 = 214,981.50 : x
2. Step 2: Convert to fraction form
   137,009/214,981.50 = 214,981.50/x
3. Step 3: Cross multiply
   137,009x = 214,981.50 × 214,981.50
4. Step 4: Simplify right side
   137,009x = 46,217,045,342.25
5. Step 5: Solve for x
   x = 46,217,045,342.25/137,009
6. Step 6: Final answer
   x = 337,328.54