Finding the Third Proportional to 174,026 and 380,008

Step by Step Solution

1. Step 1: Write the proportion equation
   174,026 : 380,008 = 380,008 : x
2. Step 2: Convert to fraction form
   174,026/380,008 = 380,008/x
3. Step 3: Cross multiply
   174,026x = 380,008 × 380,008
4. Step 4: Simplify right side
   174,026x = 144,406,080,064
5. Step 5: Solve for x
   x = 144,406,080,064/174,026
6. Step 6: Final answer
   x = 829,796.01