Finding the Third Proportional to 37,854,564 and 82,352,148

Step by Step Solution

1. Step 1: Write the proportion equation
   37,854,564 : 82,352,148 = 82,352,148 : x
2. Step 2: Convert to fraction form
   37,854,564/82,352,148 = 82,352,148/x
3. Step 3: Cross multiply
   37,854,564x = 82,352,148 × 82,352,148
4. Step 4: Simplify right side
   37,854,564x = 6,781,876,280,213,904
5. Step 5: Solve for x
   x = 6,781,876,280,213,904/37,854,564
6. Step 6: Final answer
   x = 179,156,105.99