Finding the Third Proportional to 59,798 and 83,847

Step by Step Solution

1. Step 1: Write the proportion equation
   59,798 : 83,847 = 83,847 : x
2. Step 2: Convert to fraction form
   59,798/83,847 = 83,847/x
3. Step 3: Cross multiply
   59,798x = 83,847 × 83,847
4. Step 4: Simplify right side
   59,798x = 7,030,319,409
5. Step 5: Solve for x
   x = 7,030,319,409/59,798
6. Step 6: Final answer
   x = 117,567.80