Finding the Third Proportional to 354,666.50 and 497,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   354,666.50 : 497,667.75 = 497,667.75 : x
2. Step 2: Convert to fraction form
   354,666.50/497,667.75 = 497,667.75/x
3. Step 3: Cross multiply
   354,666.50x = 497,667.75 × 497,667.75
4. Step 4: Simplify right side
   354,666.50x = 247,673,189,390.06
5. Step 5: Solve for x
   x = 247,673,189,390.06/354,666.50
6. Step 6: Final answer
   x = 698,326.99