Finding the Third Proportional to 83,445 and 181,047

Step by Step Solution

1. Step 1: Write the proportion equation
   83,445 : 181,047 = 181,047 : x
2. Step 2: Convert to fraction form
   83,445/181,047 = 181,047/x
3. Step 3: Cross multiply
   83,445x = 181,047 × 181,047
4. Step 4: Simplify right side
   83,445x = 32,778,016,209
5. Step 5: Solve for x
   x = 32,778,016,209/83,445
6. Step 6: Final answer
   x = 392,809.83