Finding the Third Proportional to 82,224 and 123,354

Step by Step Solution

1. Step 1: Write the proportion equation
   82,224 : 123,354 = 123,354 : x
2. Step 2: Convert to fraction form
   82,224/123,354 = 123,354/x
3. Step 3: Cross multiply
   82,224x = 123,354 × 123,354
4. Step 4: Simplify right side
   82,224x = 15,216,209,316
5. Step 5: Solve for x
   x = 15,216,209,316/82,224
6. Step 6: Final answer
   x = 185,058.00