Finding the Third Proportional to 137,109 and 305,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,109 : 305,725.50 = 305,725.50 : x
2. Step 2: Convert to fraction form
   137,109/305,725.50 = 305,725.50/x
3. Step 3: Cross multiply
   137,109x = 305,725.50 × 305,725.50
4. Step 4: Simplify right side
   137,109x = 93,468,081,350.25
5. Step 5: Solve for x
   x = 93,468,081,350.25/137,109
6. Step 6: Final answer
   x = 681,706.39