Finding the Third Proportional to 42,465 and 78,828

Step by Step Solution

1. Step 1: Write the proportion equation
   42,465 : 78,828 = 78,828 : x
2. Step 2: Convert to fraction form
   42,465/78,828 = 78,828/x
3. Step 3: Cross multiply
   42,465x = 78,828 × 78,828
4. Step 4: Simplify right side
   42,465x = 6,213,853,584
5. Step 5: Solve for x
   x = 6,213,853,584/42,465
6. Step 6: Final answer
   x = 146,328.83