Finding the Third Proportional to 91,205 and 196,984

Step by Step Solution

1. Step 1: Write the proportion equation
   91,205 : 196,984 = 196,984 : x
2. Step 2: Convert to fraction form
   91,205/196,984 = 196,984/x
3. Step 3: Cross multiply
   91,205x = 196,984 × 196,984
4. Step 4: Simplify right side
   91,205x = 38,802,696,256
5. Step 5: Solve for x
   x = 38,802,696,256/91,205
6. Step 6: Final answer
   x = 425,444.84