Finding the Third Proportional to 42,834 and 91,254

Step by Step Solution

1. Step 1: Write the proportion equation
   42,834 : 91,254 = 91,254 : x
2. Step 2: Convert to fraction form
   42,834/91,254 = 91,254/x
3. Step 3: Cross multiply
   42,834x = 91,254 × 91,254
4. Step 4: Simplify right side
   42,834x = 8,327,292,516
5. Step 5: Solve for x
   x = 8,327,292,516/42,834
6. Step 6: Final answer
   x = 194,408.47