Finding the Third Proportional to 137,009 and 204,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,009 : 204,956.50 = 204,956.50 : x
2. Step 2: Convert to fraction form
   137,009/204,956.50 = 204,956.50/x
3. Step 3: Cross multiply
   137,009x = 204,956.50 × 204,956.50
4. Step 4: Simplify right side
   137,009x = 42,007,166,892.25
5. Step 5: Solve for x
   x = 42,007,166,892.25/137,009
6. Step 6: Final answer
   x = 306,601.51