Finding the Third Proportional to 41,677.13 and 91,259.63

Step by Step Solution

1. Step 1: Write the proportion equation
   41,677.13 : 91,259.63 = 91,259.63 : x
2. Step 2: Convert to fraction form
   41,677.13/91,259.63 = 91,259.63/x
3. Step 3: Cross multiply
   41,677.13x = 91,259.63 × 91,259.63
4. Step 4: Simplify right side
   41,677.13x = 8,328,319,155.14
5. Step 5: Solve for x
   x = 8,328,319,155.14/41,677.13
6. Step 6: Final answer
   x = 199,829.50