Finding the Third Proportional to 37,865,256 and 82,938,180

Step by Step Solution

1. Step 1: Write the proportion equation
   37,865,256 : 82,938,180 = 82,938,180 : x
2. Step 2: Convert to fraction form
   37,865,256/82,938,180 = 82,938,180/x
3. Step 3: Cross multiply
   37,865,256x = 82,938,180 × 82,938,180
4. Step 4: Simplify right side
   37,865,256x = 6,878,741,701,712,400
5. Step 5: Solve for x
   x = 6,878,741,701,712,400/37,865,256
6. Step 6: Final answer
   x = 181,663,678.75