Finding the Third Proportional to 82,752 and 123,520

Step by Step Solution

1. Step 1: Write the proportion equation
   82,752 : 123,520 = 123,520 : x
2. Step 2: Convert to fraction form
   82,752/123,520 = 123,520/x
3. Step 3: Cross multiply
   82,752x = 123,520 × 123,520
4. Step 4: Simplify right side
   82,752x = 15,257,190,400
5. Step 5: Solve for x
   x = 15,257,190,400/82,752
6. Step 6: Final answer
   x = 184,372.47