Finding the Third Proportional to 77,578.88 and 167,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,578.88 : 167,404.50 = 167,404.50 : x
2. Step 2: Convert to fraction form
   77,578.88/167,404.50 = 167,404.50/x
3. Step 3: Cross multiply
   77,578.88x = 167,404.50 × 167,404.50
4. Step 4: Simplify right side
   77,578.88x = 28,024,266,620.25
5. Step 5: Solve for x
   x = 28,024,266,620.25/77,578.88
6. Step 6: Final answer
   x = 361,235.80