Finding the Third Proportional to 33,113 and 78,110

Step by Step Solution

1. Step 1: Write the proportion equation
   33,113 : 78,110 = 78,110 : x
2. Step 2: Convert to fraction form
   33,113/78,110 = 78,110/x
3. Step 3: Cross multiply
   33,113x = 78,110 × 78,110
4. Step 4: Simplify right side
   33,113x = 6,101,172,100
5. Step 5: Solve for x
   x = 6,101,172,100/33,113
6. Step 6: Final answer
   x = 184,253.08