Finding the Third Proportional to 194,420.25 and 402,327

Step by Step Solution

1. Step 1: Write the proportion equation
   194,420.25 : 402,327 = 402,327 : x
2. Step 2: Convert to fraction form
   194,420.25/402,327 = 402,327/x
3. Step 3: Cross multiply
   194,420.25x = 402,327 × 402,327
4. Step 4: Simplify right side
   194,420.25x = 161,867,014,929
5. Step 5: Solve for x
   x = 161,867,014,929/194,420.25
6. Step 6: Final answer
   x = 832,562.53