Finding the Third Proportional to 137,650 and 208,380

Step by Step Solution

1. Step 1: Write the proportion equation
   137,650 : 208,380 = 208,380 : x
2. Step 2: Convert to fraction form
   137,650/208,380 = 208,380/x
3. Step 3: Cross multiply
   137,650x = 208,380 × 208,380
4. Step 4: Simplify right side
   137,650x = 43,422,224,400
5. Step 5: Solve for x
   x = 43,422,224,400/137,650
6. Step 6: Final answer
   x = 315,453.86