Finding the Third Proportional to 241,177.50 and 354,780

Step by Step Solution

1. Step 1: Write the proportion equation
   241,177.50 : 354,780 = 354,780 : x
2. Step 2: Convert to fraction form
   241,177.50/354,780 = 354,780/x
3. Step 3: Cross multiply
   241,177.50x = 354,780 × 354,780
4. Step 4: Simplify right side
   241,177.50x = 125,868,848,400
5. Step 5: Solve for x
   x = 125,868,848,400/241,177.50
6. Step 6: Final answer
   x = 521,893.00