Finding the Third Proportional to 42,308 and 91,690

Step by Step Solution

1. Step 1: Write the proportion equation
   42,308 : 91,690 = 91,690 : x
2. Step 2: Convert to fraction form
   42,308/91,690 = 91,690/x
3. Step 3: Cross multiply
   42,308x = 91,690 × 91,690
4. Step 4: Simplify right side
   42,308x = 8,407,056,100
5. Step 5: Solve for x
   x = 8,407,056,100/42,308
6. Step 6: Final answer
   x = 198,710.79