Finding the Third Proportional to 45,661.50 and 92,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,661.50 : 92,578.50 = 92,578.50 : x
2. Step 2: Convert to fraction form
   45,661.50/92,578.50 = 92,578.50/x
3. Step 3: Cross multiply
   45,661.50x = 92,578.50 × 92,578.50
4. Step 4: Simplify right side
   45,661.50x = 8,570,778,662.25
5. Step 5: Solve for x
   x = 8,570,778,662.25/45,661.50
6. Step 6: Final answer
   x = 187,702.52