Finding the Third Proportional to 42,102 and 92,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,102 : 92,506.50 = 92,506.50 : x
2. Step 2: Convert to fraction form
   42,102/92,506.50 = 92,506.50/x
3. Step 3: Cross multiply
   42,102x = 92,506.50 × 92,506.50
4. Step 4: Simplify right side
   42,102x = 8,557,452,542.25
5. Step 5: Solve for x
   x = 8,557,452,542.25/42,102
6. Step 6: Final answer
   x = 203,255.25