Finding the Third Proportional to 185,938 and 402,788

Step by Step Solution

1. Step 1: Write the proportion equation
   185,938 : 402,788 = 402,788 : x
2. Step 2: Convert to fraction form
   185,938/402,788 = 402,788/x
3. Step 3: Cross multiply
   185,938x = 402,788 × 402,788
4. Step 4: Simplify right side
   185,938x = 162,238,172,944
5. Step 5: Solve for x
   x = 162,238,172,944/185,938
6. Step 6: Final answer
   x = 872,539.09