Finding the Third Proportional to 77,436 and 114,713

Step by Step Solution

1. Step 1: Write the proportion equation
   77,436 : 114,713 = 114,713 : x
2. Step 2: Convert to fraction form
   77,436/114,713 = 114,713/x
3. Step 3: Cross multiply
   77,436x = 114,713 × 114,713
4. Step 4: Simplify right side
   77,436x = 13,159,072,369
5. Step 5: Solve for x
   x = 13,159,072,369/77,436
6. Step 6: Final answer
   x = 169,934.82