Finding the Third Proportional to 83,392 and 129,360

Step by Step Solution

1. Step 1: Write the proportion equation
   83,392 : 129,360 = 129,360 : x
2. Step 2: Convert to fraction form
   83,392/129,360 = 129,360/x
3. Step 3: Cross multiply
   83,392x = 129,360 × 129,360
4. Step 4: Simplify right side
   83,392x = 16,734,009,600
5. Step 5: Solve for x
   x = 16,734,009,600/83,392
6. Step 6: Final answer
   x = 200,666.85