Finding the Third Proportional to 137,457 and 204,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,457 : 204,889.50 = 204,889.50 : x
2. Step 2: Convert to fraction form
   137,457/204,889.50 = 204,889.50/x
3. Step 3: Cross multiply
   137,457x = 204,889.50 × 204,889.50
4. Step 4: Simplify right side
   137,457x = 41,979,707,210.25
5. Step 5: Solve for x
   x = 41,979,707,210.25/137,457
6. Step 6: Final answer
   x = 305,402.47