Finding the Third Proportional to 82,050 and 117,333

Step by Step Solution

1. Step 1: Write the proportion equation
   82,050 : 117,333 = 117,333 : x
2. Step 2: Convert to fraction form
   82,050/117,333 = 117,333/x
3. Step 3: Cross multiply
   82,050x = 117,333 × 117,333
4. Step 4: Simplify right side
   82,050x = 13,767,032,889
5. Step 5: Solve for x
   x = 13,767,032,889/82,050
6. Step 6: Final answer
   x = 167,788.34