Finding the Third Proportional to 278,166 and 417,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,166 : 417,061.50 = 417,061.50 : x
2. Step 2: Convert to fraction form
   278,166/417,061.50 = 417,061.50/x
3. Step 3: Cross multiply
   278,166x = 417,061.50 × 417,061.50
4. Step 4: Simplify right side
   278,166x = 173,940,294,782.25
5. Step 5: Solve for x
   x = 173,940,294,782.25/278,166
6. Step 6: Final answer
   x = 625,311.13