Finding the Third Proportional to 82,188 and 123,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,188 : 123,754.50 = 123,754.50 : x
2. Step 2: Convert to fraction form
   82,188/123,754.50 = 123,754.50/x
3. Step 3: Cross multiply
   82,188x = 123,754.50 × 123,754.50
4. Step 4: Simplify right side
   82,188x = 15,315,176,270.25
5. Step 5: Solve for x
   x = 15,315,176,270.25/82,188
6. Step 6: Final answer
   x = 186,343.22