Finding the Third Proportional to 42,823.50 and 92,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,823.50 : 92,209.50 = 92,209.50 : x
2. Step 2: Convert to fraction form
   42,823.50/92,209.50 = 92,209.50/x
3. Step 3: Cross multiply
   42,823.50x = 92,209.50 × 92,209.50
4. Step 4: Simplify right side
   42,823.50x = 8,502,591,890.25
5. Step 5: Solve for x
   x = 8,502,591,890.25/42,823.50
6. Step 6: Final answer
   x = 198,549.67