Finding the Third Proportional to 266,945 and 359,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   266,945 : 359,557.50 = 359,557.50 : x
2. Step 2: Convert to fraction form
   266,945/359,557.50 = 359,557.50/x
3. Step 3: Cross multiply
   266,945x = 359,557.50 × 359,557.50
4. Step 4: Simplify right side
   266,945x = 129,281,595,806.25
5. Step 5: Solve for x
   x = 129,281,595,806.25/266,945
6. Step 6: Final answer
   x = 484,300.50