Finding the Third Proportional to 45,778.50 and 94,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,778.50 : 94,297.50 = 94,297.50 : x
2. Step 2: Convert to fraction form
   45,778.50/94,297.50 = 94,297.50/x
3. Step 3: Cross multiply
   45,778.50x = 94,297.50 × 94,297.50
4. Step 4: Simplify right side
   45,778.50x = 8,892,018,506.25
5. Step 5: Solve for x
   x = 8,892,018,506.25/45,778.50
6. Step 6: Final answer
   x = 194,240.06