Finding the Third Proportional to 52,416 and 123,312

Step by Step Solution

1. Step 1: Write the proportion equation
   52,416 : 123,312 = 123,312 : x
2. Step 2: Convert to fraction form
   52,416/123,312 = 123,312/x
3. Step 3: Cross multiply
   52,416x = 123,312 × 123,312
4. Step 4: Simplify right side
   52,416x = 15,205,849,344
5. Step 5: Solve for x
   x = 15,205,849,344/52,416
6. Step 6: Final answer
   x = 290,099.38