Finding the Third Proportional to 174,588 and 278,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,588 : 278,944.50 = 278,944.50 : x
2. Step 2: Convert to fraction form
   174,588/278,944.50 = 278,944.50/x
3. Step 3: Cross multiply
   174,588x = 278,944.50 × 278,944.50
4. Step 4: Simplify right side
   174,588x = 77,810,034,080.25
5. Step 5: Solve for x
   x = 77,810,034,080.25/174,588
6. Step 6: Final answer
   x = 445,678.02