Finding the Third Proportional to 141,277.50 and 309,123

Step by Step Solution

1. Step 1: Write the proportion equation
   141,277.50 : 309,123 = 309,123 : x
2. Step 2: Convert to fraction form
   141,277.50/309,123 = 309,123/x
3. Step 3: Cross multiply
   141,277.50x = 309,123 × 309,123
4. Step 4: Simplify right side
   141,277.50x = 95,557,029,129
5. Step 5: Solve for x
   x = 95,557,029,129/141,277.50
6. Step 6: Final answer
   x = 676,378.26