Finding the Third Proportional to 286,380 and 388,746

Step by Step Solution

1. Step 1: Write the proportion equation
   286,380 : 388,746 = 388,746 : x
2. Step 2: Convert to fraction form
   286,380/388,746 = 388,746/x
3. Step 3: Cross multiply
   286,380x = 388,746 × 388,746
4. Step 4: Simplify right side
   286,380x = 151,123,452,516
5. Step 5: Solve for x
   x = 151,123,452,516/286,380
6. Step 6: Final answer
   x = 527,702.54