Finding the Third Proportional to 42,314 and 92,404

Step by Step Solution

1. Step 1: Write the proportion equation
   42,314 : 92,404 = 92,404 : x
2. Step 2: Convert to fraction form
   42,314/92,404 = 92,404/x
3. Step 3: Cross multiply
   42,314x = 92,404 × 92,404
4. Step 4: Simplify right side
   42,314x = 8,538,499,216
5. Step 5: Solve for x
   x = 8,538,499,216/42,314
6. Step 6: Final answer
   x = 201,788.99