Finding the Third Proportional to 42,314 and 92,152

Step by Step Solution

1. Step 1: Write the proportion equation
   42,314 : 92,152 = 92,152 : x
2. Step 2: Convert to fraction form
   42,314/92,152 = 92,152/x
3. Step 3: Cross multiply
   42,314x = 92,152 × 92,152
4. Step 4: Simplify right side
   42,314x = 8,491,991,104
5. Step 5: Solve for x
   x = 8,491,991,104/42,314
6. Step 6: Final answer
   x = 200,689.87