Finding the Third Proportional to 42,114 and 92,157

Step by Step Solution

1. Step 1: Write the proportion equation
   42,114 : 92,157 = 92,157 : x
2. Step 2: Convert to fraction form
   42,114/92,157 = 92,157/x
3. Step 3: Cross multiply
   42,114x = 92,157 × 92,157
4. Step 4: Simplify right side
   42,114x = 8,492,912,649
5. Step 5: Solve for x
   x = 8,492,912,649/42,114
6. Step 6: Final answer
   x = 201,664.83