Finding the Third Proportional to 127,141.50 and 186,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,141.50 : 186,823.50 = 186,823.50 : x
2. Step 2: Convert to fraction form
   127,141.50/186,823.50 = 186,823.50/x
3. Step 3: Cross multiply
   127,141.50x = 186,823.50 × 186,823.50
4. Step 4: Simplify right side
   127,141.50x = 34,903,020,152.25
5. Step 5: Solve for x
   x = 34,903,020,152.25/127,141.50
6. Step 6: Final answer
   x = 274,521.07