Finding the Third Proportional to 33,080.25 and 78,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,080.25 : 78,077.25 = 78,077.25 : x
2. Step 2: Convert to fraction form
   33,080.25/78,077.25 = 78,077.25/x
3. Step 3: Cross multiply
   33,080.25x = 78,077.25 × 78,077.25
4. Step 4: Simplify right side
   33,080.25x = 6,096,056,967.56
5. Step 5: Solve for x
   x = 6,096,056,967.56/33,080.25
6. Step 6: Final answer
   x = 184,280.86