Finding the Third Proportional to 155,646 and 340,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,646 : 340,123.50 = 340,123.50 : x
2. Step 2: Convert to fraction form
   155,646/340,123.50 = 340,123.50/x
3. Step 3: Cross multiply
   155,646x = 340,123.50 × 340,123.50
4. Step 4: Simplify right side
   155,646x = 115,683,995,252.25
5. Step 5: Solve for x
   x = 115,683,995,252.25/155,646
6. Step 6: Final answer
   x = 743,250.68