Finding the Third Proportional to 42,084 and 92,216.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,084 : 92,216.25 = 92,216.25 : x
2. Step 2: Convert to fraction form
   42,084/92,216.25 = 92,216.25/x
3. Step 3: Cross multiply
   42,084x = 92,216.25 × 92,216.25
4. Step 4: Simplify right side
   42,084x = 8,503,836,764.06
5. Step 5: Solve for x
   x = 8,503,836,764.06/42,084
6. Step 6: Final answer
   x = 202,068.17