Finding the Third Proportional to 35,947 and 78,191

Step by Step Solution

1. Step 1: Write the proportion equation
   35,947 : 78,191 = 78,191 : x
2. Step 2: Convert to fraction form
   35,947/78,191 = 78,191/x
3. Step 3: Cross multiply
   35,947x = 78,191 × 78,191
4. Step 4: Simplify right side
   35,947x = 6,113,832,481
5. Step 5: Solve for x
   x = 6,113,832,481/35,947
6. Step 6: Final answer
   x = 170,079.07