Finding the Third Proportional to 341,676 and 509,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,676 : 509,737.50 = 509,737.50 : x
2. Step 2: Convert to fraction form
   341,676/509,737.50 = 509,737.50/x
3. Step 3: Cross multiply
   341,676x = 509,737.50 × 509,737.50
4. Step 4: Simplify right side
   341,676x = 259,832,318,906.25
5. Step 5: Solve for x
   x = 259,832,318,906.25/341,676
6. Step 6: Final answer
   x = 760,464.06