Finding the Third Proportional to 42,392 and 91,345

Step by Step Solution

1. Step 1: Write the proportion equation
   42,392 : 91,345 = 91,345 : x
2. Step 2: Convert to fraction form
   42,392/91,345 = 91,345/x
3. Step 3: Cross multiply
   42,392x = 91,345 × 91,345
4. Step 4: Simplify right side
   42,392x = 8,343,909,025
5. Step 5: Solve for x
   x = 8,343,909,025/42,392
6. Step 6: Final answer
   x = 196,827.44