Finding the Third Proportional to 138,761 and 327,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,761 : 327,454.50 = 327,454.50 : x
2. Step 2: Convert to fraction form
   138,761/327,454.50 = 327,454.50/x
3. Step 3: Cross multiply
   138,761x = 327,454.50 × 327,454.50
4. Step 4: Simplify right side
   138,761x = 107,226,449,570.25
5. Step 5: Solve for x
   x = 107,226,449,570.25/138,761
6. Step 6: Final answer
   x = 772,741.98