Finding the Third Proportional to 41,746.50 and 86,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,746.50 : 86,944.50 = 86,944.50 : x
2. Step 2: Convert to fraction form
   41,746.50/86,944.50 = 86,944.50/x
3. Step 3: Cross multiply
   41,746.50x = 86,944.50 × 86,944.50
4. Step 4: Simplify right side
   41,746.50x = 7,559,346,080.25
5. Step 5: Solve for x
   x = 7,559,346,080.25/41,746.50
6. Step 6: Final answer
   x = 181,077.36