Finding the Third Proportional to 138,539 and 298,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,539 : 298,266.50 = 298,266.50 : x
2. Step 2: Convert to fraction form
   138,539/298,266.50 = 298,266.50/x
3. Step 3: Cross multiply
   138,539x = 298,266.50 × 298,266.50
4. Step 4: Simplify right side
   138,539x = 88,962,905,022.25
5. Step 5: Solve for x
   x = 88,962,905,022.25/138,539
6. Step 6: Final answer
   x = 642,150.62