Finding the Third Proportional to 33,114 and 78,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,114 : 78,112.50 = 78,112.50 : x
2. Step 2: Convert to fraction form
   33,114/78,112.50 = 78,112.50/x
3. Step 3: Cross multiply
   33,114x = 78,112.50 × 78,112.50
4. Step 4: Simplify right side
   33,114x = 6,101,562,656.25
5. Step 5: Solve for x
   x = 6,101,562,656.25/33,114
6. Step 6: Final answer
   x = 184,259.31