Finding the Third Proportional to 35,816 and 78,280

Step by Step Solution

1. Step 1: Write the proportion equation
   35,816 : 78,280 = 78,280 : x
2. Step 2: Convert to fraction form
   35,816/78,280 = 78,280/x
3. Step 3: Cross multiply
   35,816x = 78,280 × 78,280
4. Step 4: Simplify right side
   35,816x = 6,127,758,400
5. Step 5: Solve for x
   x = 6,127,758,400/35,816
6. Step 6: Final answer
   x = 171,089.97