Finding the Third Proportional to 41,562 and 89,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,562 : 89,077.50 = 89,077.50 : x
2. Step 2: Convert to fraction form
   41,562/89,077.50 = 89,077.50/x
3. Step 3: Cross multiply
   41,562x = 89,077.50 × 89,077.50
4. Step 4: Simplify right side
   41,562x = 7,934,801,006.25
5. Step 5: Solve for x
   x = 7,934,801,006.25/41,562
6. Step 6: Final answer
   x = 190,914.80