Finding the Third Proportional to 52,920 and 75,222

Step by Step Solution

1. Step 1: Write the proportion equation
   52,920 : 75,222 = 75,222 : x
2. Step 2: Convert to fraction form
   52,920/75,222 = 75,222/x
3. Step 3: Cross multiply
   52,920x = 75,222 × 75,222
4. Step 4: Simplify right side
   52,920x = 5,658,349,284
5. Step 5: Solve for x
   x = 5,658,349,284/52,920
6. Step 6: Final answer
   x = 106,922.70