Finding the Third Proportional to 41,665.50 and 88,296.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,665.50 : 88,296.75 = 88,296.75 : x
2. Step 2: Convert to fraction form
   41,665.50/88,296.75 = 88,296.75/x
3. Step 3: Cross multiply
   41,665.50x = 88,296.75 × 88,296.75
4. Step 4: Simplify right side
   41,665.50x = 7,796,316,060.56
5. Step 5: Solve for x
   x = 7,796,316,060.56/41,665.50
6. Step 6: Final answer
   x = 187,116.82