Finding the Third Proportional to 185,919.50 and 402,751

Step by Step Solution

1. Step 1: Write the proportion equation
   185,919.50 : 402,751 = 402,751 : x
2. Step 2: Convert to fraction form
   185,919.50/402,751 = 402,751/x
3. Step 3: Cross multiply
   185,919.50x = 402,751 × 402,751
4. Step 4: Simplify right side
   185,919.50x = 162,208,368,001
5. Step 5: Solve for x
   x = 162,208,368,001/185,919.50
6. Step 6: Final answer
   x = 872,465.60