Finding the Third Proportional to 77,538 and 116,304

Step by Step Solution

1. Step 1: Write the proportion equation
   77,538 : 116,304 = 116,304 : x
2. Step 2: Convert to fraction form
   77,538/116,304 = 116,304/x
3. Step 3: Cross multiply
   77,538x = 116,304 × 116,304
4. Step 4: Simplify right side
   77,538x = 13,526,620,416
5. Step 5: Solve for x
   x = 13,526,620,416/77,538
6. Step 6: Final answer
   x = 174,451.50