Finding the Third Proportional to 41,085 and 88,501

Step by Step Solution

1. Step 1: Write the proportion equation
   41,085 : 88,501 = 88,501 : x
2. Step 2: Convert to fraction form
   41,085/88,501 = 88,501/x
3. Step 3: Cross multiply
   41,085x = 88,501 × 88,501
4. Step 4: Simplify right side
   41,085x = 7,832,427,001
5. Step 5: Solve for x
   x = 7,832,427,001/41,085
6. Step 6: Final answer
   x = 190,639.58