Finding the Third Proportional to 175,688 and 386,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,688 : 386,361.50 = 386,361.50 : x
2. Step 2: Convert to fraction form
   175,688/386,361.50 = 386,361.50/x
3. Step 3: Cross multiply
   175,688x = 386,361.50 × 386,361.50
4. Step 4: Simplify right side
   175,688x = 149,275,208,682.25
5. Step 5: Solve for x
   x = 149,275,208,682.25/175,688
6. Step 6: Final answer
   x = 849,660.81