Finding the Third Proportional to 82,056 and 117,332.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,056 : 117,332.50 = 117,332.50 : x
2. Step 2: Convert to fraction form
   82,056/117,332.50 = 117,332.50/x
3. Step 3: Cross multiply
   82,056x = 117,332.50 × 117,332.50
4. Step 4: Simplify right side
   82,056x = 13,766,915,556.25
5. Step 5: Solve for x
   x = 13,766,915,556.25/82,056
6. Step 6: Final answer
   x = 167,774.64