Finding the Third Proportional to 77,192 and 115,500

Step by Step Solution

1. Step 1: Write the proportion equation
   77,192 : 115,500 = 115,500 : x
2. Step 2: Convert to fraction form
   77,192/115,500 = 115,500/x
3. Step 3: Cross multiply
   77,192x = 115,500 × 115,500
4. Step 4: Simplify right side
   77,192x = 13,340,250,000
5. Step 5: Solve for x
   x = 13,340,250,000/77,192
6. Step 6: Final answer
   x = 172,819.07