Finding the Third Proportional to 33,406 and 78,848.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,406 : 78,848.50 = 78,848.50 : x
2. Step 2: Convert to fraction form
   33,406/78,848.50 = 78,848.50/x
3. Step 3: Cross multiply
   33,406x = 78,848.50 × 78,848.50
4. Step 4: Simplify right side
   33,406x = 6,217,085,952.25
5. Step 5: Solve for x
   x = 6,217,085,952.25/33,406
6. Step 6: Final answer
   x = 186,106.87