Finding the Third Proportional to 37,775,970 and 82,598,508

Step by Step Solution

1. Step 1: Write the proportion equation
   37,775,970 : 82,598,508 = 82,598,508 : x
2. Step 2: Convert to fraction form
   37,775,970/82,598,508 = 82,598,508/x
3. Step 3: Cross multiply
   37,775,970x = 82,598,508 × 82,598,508
4. Step 4: Simplify right side
   37,775,970x = 6,822,513,523,826,064
5. Step 5: Solve for x
   x = 6,822,513,523,826,064/37,775,970
6. Step 6: Final answer
   x = 180,604,588.68