Finding the Third Proportional to 77,784 and 151,680

Step by Step Solution

1. Step 1: Write the proportion equation
   77,784 : 151,680 = 151,680 : x
2. Step 2: Convert to fraction form
   77,784/151,680 = 151,680/x
3. Step 3: Cross multiply
   77,784x = 151,680 × 151,680
4. Step 4: Simplify right side
   77,784x = 23,006,822,400
5. Step 5: Solve for x
   x = 23,006,822,400/77,784
6. Step 6: Final answer
   x = 295,778.34