Finding the Third Proportional to 123,632 and 185,475

Step by Step Solution

1. Step 1: Write the proportion equation
   123,632 : 185,475 = 185,475 : x
2. Step 2: Convert to fraction form
   123,632/185,475 = 185,475/x
3. Step 3: Cross multiply
   123,632x = 185,475 × 185,475
4. Step 4: Simplify right side
   123,632x = 34,400,975,625
5. Step 5: Solve for x
   x = 34,400,975,625/123,632
6. Step 6: Final answer
   x = 278,253.01