Finding the Third Proportional to 128,085 and 188,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,085 : 188,812.50 = 188,812.50 : x
2. Step 2: Convert to fraction form
   128,085/188,812.50 = 188,812.50/x
3. Step 3: Cross multiply
   128,085x = 188,812.50 × 188,812.50
4. Step 4: Simplify right side
   128,085x = 35,650,160,156.25
5. Step 5: Solve for x
   x = 35,650,160,156.25/128,085
6. Step 6: Final answer
   x = 278,332.05