Finding the Third Proportional to 42,869 and 94,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,869 : 94,038.50 = 94,038.50 : x
2. Step 2: Convert to fraction form
   42,869/94,038.50 = 94,038.50/x
3. Step 3: Cross multiply
   42,869x = 94,038.50 × 94,038.50
4. Step 4: Simplify right side
   42,869x = 8,843,239,482.25
5. Step 5: Solve for x
   x = 8,843,239,482.25/42,869
6. Step 6: Final answer
   x = 206,285.18