Finding the Third Proportional to 33,112 and 78,106

Step by Step Solution

1. Step 1: Write the proportion equation
   33,112 : 78,106 = 78,106 : x
2. Step 2: Convert to fraction form
   33,112/78,106 = 78,106/x
3. Step 3: Cross multiply
   33,112x = 78,106 × 78,106
4. Step 4: Simplify right side
   33,112x = 6,100,547,236
5. Step 5: Solve for x
   x = 6,100,547,236/33,112
6. Step 6: Final answer
   x = 184,239.77