Finding the Third Proportional to 139,413 and 209,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,413 : 209,434.50 = 209,434.50 : x
2. Step 2: Convert to fraction form
   139,413/209,434.50 = 209,434.50/x
3. Step 3: Cross multiply
   139,413x = 209,434.50 × 209,434.50
4. Step 4: Simplify right side
   139,413x = 43,862,809,790.25
5. Step 5: Solve for x
   x = 43,862,809,790.25/139,413
6. Step 6: Final answer
   x = 314,624.96