Finding the Third Proportional to 77,920 and 116,848

Step by Step Solution

1. Step 1: Write the proportion equation
   77,920 : 116,848 = 116,848 : x
2. Step 2: Convert to fraction form
   77,920/116,848 = 116,848/x
3. Step 3: Cross multiply
   77,920x = 116,848 × 116,848
4. Step 4: Simplify right side
   77,920x = 13,653,455,104
5. Step 5: Solve for x
   x = 13,653,455,104/77,920
6. Step 6: Final answer
   x = 175,224.01