Finding the Third Proportional to 42,365 and 91,289

Step by Step Solution

1. Step 1: Write the proportion equation
   42,365 : 91,289 = 91,289 : x
2. Step 2: Convert to fraction form
   42,365/91,289 = 91,289/x
3. Step 3: Cross multiply
   42,365x = 91,289 × 91,289
4. Step 4: Simplify right side
   42,365x = 8,333,681,521
5. Step 5: Solve for x
   x = 8,333,681,521/42,365
6. Step 6: Final answer
   x = 196,711.47