Finding the Third Proportional to 77,310 and 167,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,310 : 167,839.50 = 167,839.50 : x
2. Step 2: Convert to fraction form
   77,310/167,839.50 = 167,839.50/x
3. Step 3: Cross multiply
   77,310x = 167,839.50 × 167,839.50
4. Step 4: Simplify right side
   77,310x = 28,170,097,760.25
5. Step 5: Solve for x
   x = 28,170,097,760.25/77,310
6. Step 6: Final answer
   x = 364,378.45