Finding the Third Proportional to 82,053 and 117,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,053 : 117,328.50 = 117,328.50 : x
2. Step 2: Convert to fraction form
   82,053/117,328.50 = 117,328.50/x
3. Step 3: Cross multiply
   82,053x = 117,328.50 × 117,328.50
4. Step 4: Simplify right side
   82,053x = 13,765,976,912.25
5. Step 5: Solve for x
   x = 13,765,976,912.25/82,053
6. Step 6: Final answer
   x = 167,769.33