Finding the Third Proportional to 111,390 and 172,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,390 : 172,633.50 = 172,633.50 : x
2. Step 2: Convert to fraction form
   111,390/172,633.50 = 172,633.50/x
3. Step 3: Cross multiply
   111,390x = 172,633.50 × 172,633.50
4. Step 4: Simplify right side
   111,390x = 29,802,325,322.25
5. Step 5: Solve for x
   x = 29,802,325,322.25/111,390
6. Step 6: Final answer
   x = 267,549.38