Finding the Third Proportional to 82,940 and 125,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,940 : 125,097.50 = 125,097.50 : x
2. Step 2: Convert to fraction form
   82,940/125,097.50 = 125,097.50/x
3. Step 3: Cross multiply
   82,940x = 125,097.50 × 125,097.50
4. Step 4: Simplify right side
   82,940x = 15,649,384,506.25
5. Step 5: Solve for x
   x = 15,649,384,506.25/82,940
6. Step 6: Final answer
   x = 188,683.20