Finding the Third Proportional to 77,928 and 116,892

Step by Step Solution

1. Step 1: Write the proportion equation
   77,928 : 116,892 = 116,892 : x
2. Step 2: Convert to fraction form
   77,928/116,892 = 116,892/x
3. Step 3: Cross multiply
   77,928x = 116,892 × 116,892
4. Step 4: Simplify right side
   77,928x = 13,663,739,664
5. Step 5: Solve for x
   x = 13,663,739,664/77,928
6. Step 6: Final answer
   x = 175,338