Finding the Third Proportional to 77,100.75 and 168,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,100.75 : 168,178.50 = 168,178.50 : x
2. Step 2: Convert to fraction form
   77,100.75/168,178.50 = 168,178.50/x
3. Step 3: Cross multiply
   77,100.75x = 168,178.50 × 168,178.50
4. Step 4: Simplify right side
   77,100.75x = 28,284,007,862.25
5. Step 5: Solve for x
   x = 28,284,007,862.25/77,100.75
6. Step 6: Final answer
   x = 366,844.78