Finding the Third Proportional to 37,798 and 82,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,798 : 82,503.50 = 82,503.50 : x
2. Step 2: Convert to fraction form
   37,798/82,503.50 = 82,503.50/x
3. Step 3: Cross multiply
   37,798x = 82,503.50 × 82,503.50
4. Step 4: Simplify right side
   37,798x = 6,806,827,512.25
5. Step 5: Solve for x
   x = 6,806,827,512.25/37,798
6. Step 6: Final answer
   x = 180,084.33