Finding the Third Proportional to 46,748 and 111,129.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,748 : 111,129.50 = 111,129.50 : x
2. Step 2: Convert to fraction form
   46,748/111,129.50 = 111,129.50/x
3. Step 3: Cross multiply
   46,748x = 111,129.50 × 111,129.50
4. Step 4: Simplify right side
   46,748x = 12,349,765,770.25
5. Step 5: Solve for x
   x = 12,349,765,770.25/46,748
6. Step 6: Final answer
   x = 264,177.41