Finding the Third Proportional to 137,770 and 208,730.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,770 : 208,730.50 = 208,730.50 : x
2. Step 2: Convert to fraction form
   137,770/208,730.50 = 208,730.50/x
3. Step 3: Cross multiply
   137,770x = 208,730.50 × 208,730.50
4. Step 4: Simplify right side
   137,770x = 43,568,421,630.25
5. Step 5: Solve for x
   x = 43,568,421,630.25/137,770
6. Step 6: Final answer
   x = 316,240.27