Finding the Third Proportional to 41,454 and 87,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,454 : 87,832.50 = 87,832.50 : x
2. Step 2: Convert to fraction form
   41,454/87,832.50 = 87,832.50/x
3. Step 3: Cross multiply
   41,454x = 87,832.50 × 87,832.50
4. Step 4: Simplify right side
   41,454x = 7,714,548,056.25
5. Step 5: Solve for x
   x = 7,714,548,056.25/41,454
6. Step 6: Final answer
   x = 186,099.00