Finding the Third Proportional to 137,308 and 206,664

Step by Step Solution

1. Step 1: Write the proportion equation
   137,308 : 206,664 = 206,664 : x
2. Step 2: Convert to fraction form
   137,308/206,664 = 206,664/x
3. Step 3: Cross multiply
   137,308x = 206,664 × 206,664
4. Step 4: Simplify right side
   137,308x = 42,710,008,896
5. Step 5: Solve for x
   x = 42,710,008,896/137,308
6. Step 6: Final answer
   x = 311,052.59