Finding the Third Proportional to 33,341.50 and 78,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,341.50 : 78,705.25 = 78,705.25 : x
2. Step 2: Convert to fraction form
   33,341.50/78,705.25 = 78,705.25/x
3. Step 3: Cross multiply
   33,341.50x = 78,705.25 × 78,705.25
4. Step 4: Simplify right side
   33,341.50x = 6,194,516,377.56
5. Step 5: Solve for x
   x = 6,194,516,377.56/33,341.50
6. Step 6: Final answer
   x = 185,789.97