Finding the Third Proportional to 42,407 and 91,253

Step by Step Solution

1. Step 1: Write the proportion equation
   42,407 : 91,253 = 91,253 : x
2. Step 2: Convert to fraction form
   42,407/91,253 = 91,253/x
3. Step 3: Cross multiply
   42,407x = 91,253 × 91,253
4. Step 4: Simplify right side
   42,407x = 8,327,110,009
5. Step 5: Solve for x
   x = 8,327,110,009/42,407
6. Step 6: Final answer
   x = 196,361.69