Finding the Third Proportional to 82,392 and 123,948

Step by Step Solution

1. Step 1: Write the proportion equation
   82,392 : 123,948 = 123,948 : x
2. Step 2: Convert to fraction form
   82,392/123,948 = 123,948/x
3. Step 3: Cross multiply
   82,392x = 123,948 × 123,948
4. Step 4: Simplify right side
   82,392x = 15,363,106,704
5. Step 5: Solve for x
   x = 15,363,106,704/82,392
6. Step 6: Final answer
   x = 186,463.57