Finding the Third Proportional to 191,758.50 and 287,516.25

Step by Step Solution

1. Step 1: Write the proportion equation
   191,758.50 : 287,516.25 = 287,516.25 : x
2. Step 2: Convert to fraction form
   191,758.50/287,516.25 = 287,516.25/x
3. Step 3: Cross multiply
   191,758.50x = 287,516.25 × 287,516.25
4. Step 4: Simplify right side
   191,758.50x = 82,665,594,014.06
5. Step 5: Solve for x
   x = 82,665,594,014.06/191,758.50
6. Step 6: Final answer
   x = 431,092.20