Finding the Third Proportional to 77,808 and 113,310

Step by Step Solution

1. Step 1: Write the proportion equation
   77,808 : 113,310 = 113,310 : x
2. Step 2: Convert to fraction form
   77,808/113,310 = 113,310/x
3. Step 3: Cross multiply
   77,808x = 113,310 × 113,310
4. Step 4: Simplify right side
   77,808x = 12,839,156,100
5. Step 5: Solve for x
   x = 12,839,156,100/77,808
6. Step 6: Final answer
   x = 165,010.75