Finding the Third Proportional to 42,846 and 92,820

Step by Step Solution

1. Step 1: Write the proportion equation
   42,846 : 92,820 = 92,820 : x
2. Step 2: Convert to fraction form
   42,846/92,820 = 92,820/x
3. Step 3: Cross multiply
   42,846x = 92,820 × 92,820
4. Step 4: Simplify right side
   42,846x = 8,615,552,400
5. Step 5: Solve for x
   x = 8,615,552,400/42,846
6. Step 6: Final answer
   x = 201,081.84