Finding the Third Proportional to 37,684,665 and 82,801,188

Step by Step Solution

1. Step 1: Write the proportion equation
   37,684,665 : 82,801,188 = 82,801,188 : x
2. Step 2: Convert to fraction form
   37,684,665/82,801,188 = 82,801,188/x
3. Step 3: Cross multiply
   37,684,665x = 82,801,188 × 82,801,188
4. Step 4: Simplify right side
   37,684,665x = 6,856,036,734,211,344
5. Step 5: Solve for x
   x = 6,856,036,734,211,344/37,684,665
6. Step 6: Final answer
   x = 181,931,741.58