Finding the Third Proportional to 37,872,234 and 82,830,348

Step by Step Solution

1. Step 1: Write the proportion equation
   37,872,234 : 82,830,348 = 82,830,348 : x
2. Step 2: Convert to fraction form
   37,872,234/82,830,348 = 82,830,348/x
3. Step 3: Cross multiply
   37,872,234x = 82,830,348 × 82,830,348
4. Step 4: Simplify right side
   37,872,234x = 6,860,866,549,801,104
5. Step 5: Solve for x
   x = 6,860,866,549,801,104/37,872,234
6. Step 6: Final answer
   x = 181,158,221.34