Finding the Third Proportional to 112,698 and 174,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,698 : 174,412.50 = 174,412.50 : x
2. Step 2: Convert to fraction form
   112,698/174,412.50 = 174,412.50/x
3. Step 3: Cross multiply
   112,698x = 174,412.50 × 174,412.50
4. Step 4: Simplify right side
   112,698x = 30,419,720,156.25
5. Step 5: Solve for x
   x = 30,419,720,156.25/112,698
6. Step 6: Final answer
   x = 269,922.45