Finding the Third Proportional to 174,594 and 278,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,594 : 278,953.50 = 278,953.50 : x
2. Step 2: Convert to fraction form
   174,594/278,953.50 = 278,953.50/x
3. Step 3: Cross multiply
   174,594x = 278,953.50 × 278,953.50
4. Step 4: Simplify right side
   174,594x = 77,815,055,162.25
5. Step 5: Solve for x
   x = 77,815,055,162.25/174,594
6. Step 6: Final answer
   x = 445,691.46