Finding the Third Proportional to 414,451.50 and 608,076

Step by Step Solution

1. Step 1: Write the proportion equation
   414,451.50 : 608,076 = 608,076 : x
2. Step 2: Convert to fraction form
   414,451.50/608,076 = 608,076/x
3. Step 3: Cross multiply
   414,451.50x = 608,076 × 608,076
4. Step 4: Simplify right side
   414,451.50x = 369,756,421,776
5. Step 5: Solve for x
   x = 369,756,421,776/414,451.50
6. Step 6: Final answer
   x = 892,158.48