Finding the Third Proportional to 138,817.50 and 188,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,817.50 : 188,113.50 = 188,113.50 : x
2. Step 2: Convert to fraction form
   138,817.50/188,113.50 = 188,113.50/x
3. Step 3: Cross multiply
   138,817.50x = 188,113.50 × 188,113.50
4. Step 4: Simplify right side
   138,817.50x = 35,386,688,882.25
5. Step 5: Solve for x
   x = 35,386,688,882.25/138,817.50
6. Step 6: Final answer
   x = 254,915.19