Finding the Third Proportional to 33,340 and 78,702

Step by Step Solution

1. Step 1: Write the proportion equation
   33,340 : 78,702 = 78,702 : x
2. Step 2: Convert to fraction form
   33,340/78,702 = 78,702/x
3. Step 3: Cross multiply
   33,340x = 78,702 × 78,702
4. Step 4: Simplify right side
   33,340x = 6,194,004,804
5. Step 5: Solve for x
   x = 6,194,004,804/33,340
6. Step 6: Final answer
   x = 185,782.99