Finding the Third Proportional to 42,512 and 92,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,512 : 92,678.50 = 92,678.50 : x
2. Step 2: Convert to fraction form
   42,512/92,678.50 = 92,678.50/x
3. Step 3: Cross multiply
   42,512x = 92,678.50 × 92,678.50
4. Step 4: Simplify right side
   42,512x = 8,589,304,362.25
5. Step 5: Solve for x
   x = 8,589,304,362.25/42,512
6. Step 6: Final answer
   x = 202,044.23