Finding the Third Proportional to 42,114 and 92,145

Step by Step Solution

1. Step 1: Write the proportion equation
   42,114 : 92,145 = 92,145 : x
2. Step 2: Convert to fraction form
   42,114/92,145 = 92,145/x
3. Step 3: Cross multiply
   42,114x = 92,145 × 92,145
4. Step 4: Simplify right side
   42,114x = 8,490,701,025
5. Step 5: Solve for x
   x = 8,490,701,025/42,114
6. Step 6: Final answer
   x = 201,612.31