Finding the Third Proportional to 37,684,668 and 82,801,194

Step by Step Solution

1. Step 1: Write the proportion equation
   37,684,668 : 82,801,194 = 82,801,194 : x
2. Step 2: Convert to fraction form
   37,684,668/82,801,194 = 82,801,194/x
3. Step 3: Cross multiply
   37,684,668x = 82,801,194 × 82,801,194
4. Step 4: Simplify right side
   37,684,668x = 6,856,037,727,825,636
5. Step 5: Solve for x
   x = 6,856,037,727,825,636/37,684,668
6. Step 6: Final answer
   x = 181,931,753.46