Finding the Third Proportional to 82,214 and 123,332

Step by Step Solution

1. Step 1: Write the proportion equation
   82,214 : 123,332 = 123,332 : x
2. Step 2: Convert to fraction form
   82,214/123,332 = 123,332/x
3. Step 3: Cross multiply
   82,214x = 123,332 × 123,332
4. Step 4: Simplify right side
   82,214x = 15,210,782,224
5. Step 5: Solve for x
   x = 15,210,782,224/82,214
6. Step 6: Final answer
   x = 185,014.50