Finding the Third Proportional to 42,820 and 94,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,820 : 94,818.50 = 94,818.50 : x
2. Step 2: Convert to fraction form
   42,820/94,818.50 = 94,818.50/x
3. Step 3: Cross multiply
   42,820x = 94,818.50 × 94,818.50
4. Step 4: Simplify right side
   42,820x = 8,990,547,942.25
5. Step 5: Solve for x
   x = 8,990,547,942.25/42,820
6. Step 6: Final answer
   x = 209,961.42