Finding the Third Proportional to 42,846 and 92,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,846 : 92,269.50 = 92,269.50 : x
2. Step 2: Convert to fraction form
   42,846/92,269.50 = 92,269.50/x
3. Step 3: Cross multiply
   42,846x = 92,269.50 × 92,269.50
4. Step 4: Simplify right side
   42,846x = 8,513,660,630.25
5. Step 5: Solve for x
   x = 8,513,660,630.25/42,846
6. Step 6: Final answer
   x = 198,703.74