Finding the Third Proportional to 99,877.50 and 214,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,877.50 : 214,578.50 = 214,578.50 : x
2. Step 2: Convert to fraction form
   99,877.50/214,578.50 = 214,578.50/x
3. Step 3: Cross multiply
   99,877.50x = 214,578.50 × 214,578.50
4. Step 4: Simplify right side
   99,877.50x = 46,043,932,662.25
5. Step 5: Solve for x
   x = 46,043,932,662.25/99,877.50
6. Step 6: Final answer
   x = 461,004.06