Finding the Third Proportional to 41,534 and 88,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,534 : 88,505.50 = 88,505.50 : x
2. Step 2: Convert to fraction form
   41,534/88,505.50 = 88,505.50/x
3. Step 3: Cross multiply
   41,534x = 88,505.50 × 88,505.50
4. Step 4: Simplify right side
   41,534x = 7,833,223,530.25
5. Step 5: Solve for x
   x = 7,833,223,530.25/41,534
6. Step 6: Final answer
   x = 188,597.86