Finding the Third Proportional to 77,924 and 116,886

Step by Step Solution

1. Step 1: Write the proportion equation
   77,924 : 116,886 = 116,886 : x
2. Step 2: Convert to fraction form
   77,924/116,886 = 116,886/x
3. Step 3: Cross multiply
   77,924x = 116,886 × 116,886
4. Step 4: Simplify right side
   77,924x = 13,662,336,996
5. Step 5: Solve for x
   x = 13,662,336,996/77,924
6. Step 6: Final answer
   x = 175,329