Finding the Third Proportional to 38,818 and 83,468

Step by Step Solution

1. Step 1: Write the proportion equation
   38,818 : 83,468 = 83,468 : x
2. Step 2: Convert to fraction form
   38,818/83,468 = 83,468/x
3. Step 3: Cross multiply
   38,818x = 83,468 × 83,468
4. Step 4: Simplify right side
   38,818x = 6,966,907,024
5. Step 5: Solve for x
   x = 6,966,907,024/38,818
6. Step 6: Final answer
   x = 179,476.20