Finding the Third Proportional to 127,151.50 and 186,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,151.50 : 186,834.50 = 186,834.50 : x
2. Step 2: Convert to fraction form
   127,151.50/186,834.50 = 186,834.50/x
3. Step 3: Cross multiply
   127,151.50x = 186,834.50 × 186,834.50
4. Step 4: Simplify right side
   127,151.50x = 34,907,130,390.25
5. Step 5: Solve for x
   x = 34,907,130,390.25/127,151.50
6. Step 6: Final answer
   x = 274,531.80