Finding the Third Proportional to 266,856.50 and 405,784

Step by Step Solution

1. Step 1: Write the proportion equation
   266,856.50 : 405,784 = 405,784 : x
2. Step 2: Convert to fraction form
   266,856.50/405,784 = 405,784/x
3. Step 3: Cross multiply
   266,856.50x = 405,784 × 405,784
4. Step 4: Simplify right side
   266,856.50x = 164,660,654,656
5. Step 5: Solve for x
   x = 164,660,654,656/266,856.50
6. Step 6: Final answer
   x = 617,038.20