Finding the Third Proportional to 82,152 and 191,988

Step by Step Solution

1. Step 1: Write the proportion equation
   82,152 : 191,988 = 191,988 : x
2. Step 2: Convert to fraction form
   82,152/191,988 = 191,988/x
3. Step 3: Cross multiply
   82,152x = 191,988 × 191,988
4. Step 4: Simplify right side
   82,152x = 36,859,392,144
5. Step 5: Solve for x
   x = 36,859,392,144/82,152
6. Step 6: Final answer
   x = 448,673.10