Finding the Third Proportional to 42,365 and 90,472

Step by Step Solution

1. Step 1: Write the proportion equation
   42,365 : 90,472 = 90,472 : x
2. Step 2: Convert to fraction form
   42,365/90,472 = 90,472/x
3. Step 3: Cross multiply
   42,365x = 90,472 × 90,472
4. Step 4: Simplify right side
   42,365x = 8,185,182,784
5. Step 5: Solve for x
   x = 8,185,182,784/42,365
6. Step 6: Final answer
   x = 193,206.25