Finding the Third Proportional to 85,536 and 123,210

Step by Step Solution

1. Step 1: Write the proportion equation
   85,536 : 123,210 = 123,210 : x
2. Step 2: Convert to fraction form
   85,536/123,210 = 123,210/x
3. Step 3: Cross multiply
   85,536x = 123,210 × 123,210
4. Step 4: Simplify right side
   85,536x = 15,180,704,100
5. Step 5: Solve for x
   x = 15,180,704,100/85,536
6. Step 6: Final answer
   x = 177,477.37