Finding the Third Proportional to 42,120 and 91,664

Step by Step Solution

1. Step 1: Write the proportion equation
   42,120 : 91,664 = 91,664 : x
2. Step 2: Convert to fraction form
   42,120/91,664 = 91,664/x
3. Step 3: Cross multiply
   42,120x = 91,664 × 91,664
4. Step 4: Simplify right side
   42,120x = 8,402,288,896
5. Step 5: Solve for x
   x = 8,402,288,896/42,120
6. Step 6: Final answer
   x = 199,484.54