Finding the Third Proportional to 33,313 and 72,278

Step by Step Solution

1. Step 1: Write the proportion equation
   33,313 : 72,278 = 72,278 : x
2. Step 2: Convert to fraction form
   33,313/72,278 = 72,278/x
3. Step 3: Cross multiply
   33,313x = 72,278 × 72,278
4. Step 4: Simplify right side
   33,313x = 5,224,109,284
5. Step 5: Solve for x
   x = 5,224,109,284/33,313
6. Step 6: Final answer
   x = 156,818.94