Finding the Third Proportional to 33,239 and 78,210

Step by Step Solution

1. Step 1: Write the proportion equation
   33,239 : 78,210 = 78,210 : x
2. Step 2: Convert to fraction form
   33,239/78,210 = 78,210/x
3. Step 3: Cross multiply
   33,239x = 78,210 × 78,210
4. Step 4: Simplify right side
   33,239x = 6,116,804,100
5. Step 5: Solve for x
   x = 6,116,804,100/33,239
6. Step 6: Final answer
   x = 184,024.91