Finding the Third Proportional to 208,081.50 and 312,123

Step by Step Solution

1. Step 1: Write the proportion equation
   208,081.50 : 312,123 = 312,123 : x
2. Step 2: Convert to fraction form
   208,081.50/312,123 = 312,123/x
3. Step 3: Cross multiply
   208,081.50x = 312,123 × 312,123
4. Step 4: Simplify right side
   208,081.50x = 97,420,767,129
5. Step 5: Solve for x
   x = 97,420,767,129/208,081.50
6. Step 6: Final answer
   x = 468,185.63