Finding the Third Proportional to 311,205 and 480,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,205 : 480,628.50 = 480,628.50 : x
2. Step 2: Convert to fraction form
   311,205/480,628.50 = 480,628.50/x
3. Step 3: Cross multiply
   311,205x = 480,628.50 × 480,628.50
4. Step 4: Simplify right side
   311,205x = 231,003,755,012.25
5. Step 5: Solve for x
   x = 231,003,755,012.25/311,205
6. Step 6: Final answer
   x = 742,288.06