Finding the Third Proportional to 35,116 and 78,012

Step by Step Solution

1. Step 1: Write the proportion equation
   35,116 : 78,012 = 78,012 : x
2. Step 2: Convert to fraction form
   35,116/78,012 = 78,012/x
3. Step 3: Cross multiply
   35,116x = 78,012 × 78,012
4. Step 4: Simplify right side
   35,116x = 6,085,872,144
5. Step 5: Solve for x
   x = 6,085,872,144/35,116
6. Step 6: Final answer
   x = 173,307.67