Finding the Third Proportional to 115,816 and 174,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,816 : 174,002.50 = 174,002.50 : x
2. Step 2: Convert to fraction form
   115,816/174,002.50 = 174,002.50/x
3. Step 3: Cross multiply
   115,816x = 174,002.50 × 174,002.50
4. Step 4: Simplify right side
   115,816x = 30,276,870,006.25
5. Step 5: Solve for x
   x = 30,276,870,006.25/115,816
6. Step 6: Final answer
   x = 261,422.17