Finding the Third Proportional to 194,477.50 and 402,455

Step by Step Solution

1. Step 1: Write the proportion equation
   194,477.50 : 402,455 = 402,455 : x
2. Step 2: Convert to fraction form
   194,477.50/402,455 = 402,455/x
3. Step 3: Cross multiply
   194,477.50x = 402,455 × 402,455
4. Step 4: Simplify right side
   194,477.50x = 161,970,027,025
5. Step 5: Solve for x
   x = 161,970,027,025/194,477.50
6. Step 6: Final answer
   x = 832,847.13