Finding the Third Proportional to 115,869.75 and 155,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,869.75 : 155,191.50 = 155,191.50 : x
2. Step 2: Convert to fraction form
   115,869.75/155,191.50 = 155,191.50/x
3. Step 3: Cross multiply
   115,869.75x = 155,191.50 × 155,191.50
4. Step 4: Simplify right side
   115,869.75x = 24,084,401,672.25
5. Step 5: Solve for x
   x = 24,084,401,672.25/115,869.75
6. Step 6: Final answer
   x = 207,857.54