Finding the Third Proportional to 138,181.50 and 286,749

Step by Step Solution

1. Step 1: Write the proportion equation
   138,181.50 : 286,749 = 286,749 : x
2. Step 2: Convert to fraction form
   138,181.50/286,749 = 286,749/x
3. Step 3: Cross multiply
   138,181.50x = 286,749 × 286,749
4. Step 4: Simplify right side
   138,181.50x = 82,224,989,001
5. Step 5: Solve for x
   x = 82,224,989,001/138,181.50
6. Step 6: Final answer
   x = 595,050.63