Finding the Third Proportional to 42,429 and 91,416

Step by Step Solution

1. Step 1: Write the proportion equation
   42,429 : 91,416 = 91,416 : x
2. Step 2: Convert to fraction form
   42,429/91,416 = 91,416/x
3. Step 3: Cross multiply
   42,429x = 91,416 × 91,416
4. Step 4: Simplify right side
   42,429x = 8,356,885,056
5. Step 5: Solve for x
   x = 8,356,885,056/42,429
6. Step 6: Final answer
   x = 196,961.63