Finding the Third Proportional to 82,028 and 117,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,028 : 117,299.50 = 117,299.50 : x
2. Step 2: Convert to fraction form
   82,028/117,299.50 = 117,299.50/x
3. Step 3: Cross multiply
   82,028x = 117,299.50 × 117,299.50
4. Step 4: Simplify right side
   82,028x = 13,759,172,700.25
5. Step 5: Solve for x
   x = 13,759,172,700.25/82,028
6. Step 6: Final answer
   x = 167,737.51