Finding the Third Proportional to 93,786 and 204,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,786 : 204,792.50 = 204,792.50 : x
2. Step 2: Convert to fraction form
   93,786/204,792.50 = 204,792.50/x
3. Step 3: Cross multiply
   93,786x = 204,792.50 × 204,792.50
4. Step 4: Simplify right side
   93,786x = 41,939,968,056.25
5. Step 5: Solve for x
   x = 41,939,968,056.25/93,786
6. Step 6: Final answer
   x = 447,187.94