Finding the Third Proportional to 147,114 and 225,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,114 : 225,409.50 = 225,409.50 : x
2. Step 2: Convert to fraction form
   147,114/225,409.50 = 225,409.50/x
3. Step 3: Cross multiply
   147,114x = 225,409.50 × 225,409.50
4. Step 4: Simplify right side
   147,114x = 50,809,442,690.25
5. Step 5: Solve for x
   x = 50,809,442,690.25/147,114
6. Step 6: Final answer
   x = 345,374.63