Finding the Third Proportional to 42,798 and 88,322

Step by Step Solution

1. Step 1: Write the proportion equation
   42,798 : 88,322 = 88,322 : x
2. Step 2: Convert to fraction form
   42,798/88,322 = 88,322/x
3. Step 3: Cross multiply
   42,798x = 88,322 × 88,322
4. Step 4: Simplify right side
   42,798x = 7,800,775,684
5. Step 5: Solve for x
   x = 7,800,775,684/42,798
6. Step 6: Final answer
   x = 182,269.63