Finding the Third Proportional to 78,042 and 188,748

Step by Step Solution

1. Step 1: Write the proportion equation
   78,042 : 188,748 = 188,748 : x
2. Step 2: Convert to fraction form
   78,042/188,748 = 188,748/x
3. Step 3: Cross multiply
   78,042x = 188,748 × 188,748
4. Step 4: Simplify right side
   78,042x = 35,625,807,504
5. Step 5: Solve for x
   x = 35,625,807,504/78,042
6. Step 6: Final answer
   x = 456,495.32