Finding the Third Proportional to 35,818 and 78,284

Step by Step Solution

1. Step 1: Write the proportion equation
   35,818 : 78,284 = 78,284 : x
2. Step 2: Convert to fraction form
   35,818/78,284 = 78,284/x
3. Step 3: Cross multiply
   35,818x = 78,284 × 78,284
4. Step 4: Simplify right side
   35,818x = 6,128,384,656
5. Step 5: Solve for x
   x = 6,128,384,656/35,818
6. Step 6: Final answer
   x = 171,097.90