Finding the Third Proportional to 53,390 and 123,585

Step by Step Solution

1. Step 1: Write the proportion equation
   53,390 : 123,585 = 123,585 : x
2. Step 2: Convert to fraction form
   53,390/123,585 = 123,585/x
3. Step 3: Cross multiply
   53,390x = 123,585 × 123,585
4. Step 4: Simplify right side
   53,390x = 15,273,252,225
5. Step 5: Solve for x
   x = 15,273,252,225/53,390
6. Step 6: Final answer
   x = 286,069.53