Finding the Third Proportional to 115,698 and 175,990.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,698 : 175,990.50 = 175,990.50 : x
2. Step 2: Convert to fraction form
   115,698/175,990.50 = 175,990.50/x
3. Step 3: Cross multiply
   115,698x = 175,990.50 × 175,990.50
4. Step 4: Simplify right side
   115,698x = 30,972,656,090.25
5. Step 5: Solve for x
   x = 30,972,656,090.25/115,698
6. Step 6: Final answer
   x = 267,702.61