Finding the Third Proportional to 89,977.50 and 198,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,977.50 : 198,085.50 = 198,085.50 : x
2. Step 2: Convert to fraction form
   89,977.50/198,085.50 = 198,085.50/x
3. Step 3: Cross multiply
   89,977.50x = 198,085.50 × 198,085.50
4. Step 4: Simplify right side
   89,977.50x = 39,237,865,310.25
5. Step 5: Solve for x
   x = 39,237,865,310.25/89,977.50
6. Step 6: Final answer
   x = 436,085.30