Finding the Third Proportional to 84,097,490 and 186,456,916

Step by Step Solution

1. Step 1: Write the proportion equation
   84,097,490 : 186,456,916 = 186,456,916 : x
2. Step 2: Convert to fraction form
   84,097,490/186,456,916 = 186,456,916/x
3. Step 3: Cross multiply
   84,097,490x = 186,456,916 × 186,456,916
4. Step 4: Simplify right side
   84,097,490x = 34,766,181,524,231,056
5. Step 5: Solve for x
   x = 34,766,181,524,231,056/84,097,490
6. Step 6: Final answer
   x = 413,403,319.46