Finding the Third Proportional to 77,672 and 116,388

Step by Step Solution

1. Step 1: Write the proportion equation
   77,672 : 116,388 = 116,388 : x
2. Step 2: Convert to fraction form
   77,672/116,388 = 116,388/x
3. Step 3: Cross multiply
   77,672x = 116,388 × 116,388
4. Step 4: Simplify right side
   77,672x = 13,546,166,544
5. Step 5: Solve for x
   x = 13,546,166,544/77,672
6. Step 6: Final answer
   x = 174,402.19