Finding the Third Proportional to 82,152 and 117,392

Step by Step Solution

1. Step 1: Write the proportion equation
   82,152 : 117,392 = 117,392 : x
2. Step 2: Convert to fraction form
   82,152/117,392 = 117,392/x
3. Step 3: Cross multiply
   82,152x = 117,392 × 117,392
4. Step 4: Simplify right side
   82,152x = 13,780,881,664
5. Step 5: Solve for x
   x = 13,780,881,664/82,152
6. Step 6: Final answer
   x = 167,748.58