Finding the Third Proportional to 42,012 and 91,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,012 : 91,678.50 = 91,678.50 : x
2. Step 2: Convert to fraction form
   42,012/91,678.50 = 91,678.50/x
3. Step 3: Cross multiply
   42,012x = 91,678.50 × 91,678.50
4. Step 4: Simplify right side
   42,012x = 8,404,947,362.25
5. Step 5: Solve for x
   x = 8,404,947,362.25/42,012
6. Step 6: Final answer
   x = 200,060.63