Finding the Third Proportional to 46,409 and 74,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,409 : 74,725.50 = 74,725.50 : x
2. Step 2: Convert to fraction form
   46,409/74,725.50 = 74,725.50/x
3. Step 3: Cross multiply
   46,409x = 74,725.50 × 74,725.50
4. Step 4: Simplify right side
   46,409x = 5,583,900,350.25
5. Step 5: Solve for x
   x = 5,583,900,350.25/46,409
6. Step 6: Final answer
   x = 120,319.34